
Least Common Multiple (LCM) of 147 and 36
The least common multiple (LCM) of 147 and 36 is 1764.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 147 and 36?
First, calculate the GCD of 147 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 147 ÷ 36 = 4 remainder 3 |
2 | 36 ÷ 3 = 12 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
51 and 111 | 1887 |
72 and 137 | 9864 |
92 and 103 | 9476 |
168 and 129 | 7224 |
143 and 53 | 7579 |