What is the Least Common Multiple of 60792 and 60807?

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 60792 and 60807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60792 and 60807, than apply into the LCM equation.

GCF(60792,60807) = 3
LCM(60792,60807) = ( 60792 × 60807) / 3
LCM(60792,60807) = 3696579144 / 3
LCM(60792,60807) = 1232193048

Least Common Multiple (LCM) of 60792 and 60807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60792 and 60807. First we will calculate the prime factors of 60792 and 60807.

Prime Factorization of 60792

Prime Factorization of 60807

Now multiplying the highest exponent prime factors to calculate the LCM of 60792 and 60807.

LCM(60792,60807) = 2³ × 3¹ × 17¹ × 149¹ × 20269¹
LCM(60792,60807) = 1232193048