What is the Least Common Multiple of 59640 and 59651?

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 59640 and 59651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59640 and 59651, than apply into the LCM equation.

GCF(59640,59651) = 1
LCM(59640,59651) = ( 59640 × 59651) / 1
LCM(59640,59651) = 3557585640 / 1
LCM(59640,59651) = 3557585640

Least Common Multiple (LCM) of 59640 and 59651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59640 and 59651. First we will calculate the prime factors of 59640 and 59651.

Prime Factorization of 59640

Prime Factorization of 59651

Now multiplying the highest exponent prime factors to calculate the LCM of 59640 and 59651.

LCM(59640,59651) = 2³ × 3¹ × 5¹ × 7¹ × 71¹ × 59651¹
LCM(59640,59651) = 3557585640