What is the Least Common Multiple of 76440 and 76445?

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 76440 and 76445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76440 and 76445, than apply into the LCM equation.

GCF(76440,76445) = 5
LCM(76440,76445) = ( 76440 × 76445) / 5
LCM(76440,76445) = 5843455800 / 5
LCM(76440,76445) = 1168691160

Least Common Multiple (LCM) of 76440 and 76445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76440 and 76445. First we will calculate the prime factors of 76440 and 76445.

Prime Factorization of 76440

Prime Factorization of 76445

Now multiplying the highest exponent prime factors to calculate the LCM of 76440 and 76445.

LCM(76440,76445) = 2³ × 3¹ × 5¹ × 7² × 13¹ × 15289¹
LCM(76440,76445) = 1168691160