What is the Least Common Multiple of 36912 and 36925?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 36912 and 36925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36912 and 36925, than apply into the LCM equation.

GCF(36912,36925) = 1
LCM(36912,36925) = ( 36912 × 36925) / 1
LCM(36912,36925) = 1362975600 / 1
LCM(36912,36925) = 1362975600

Least Common Multiple (LCM) of 36912 and 36925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36912 and 36925. First we will calculate the prime factors of 36912 and 36925.

Prime Factorization of 36912

Prime Factorization of 36925

Now multiplying the highest exponent prime factors to calculate the LCM of 36912 and 36925.

LCM(36912,36925) = 2⁴ × 3¹ × 769¹ × 5² × 7¹ × 211¹
LCM(36912,36925) = 1362975600