What is the Least Common Multiple of 59808 and 59817?

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 59808 and 59817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59808 and 59817, than apply into the LCM equation.

GCF(59808,59817) = 3
LCM(59808,59817) = ( 59808 × 59817) / 3
LCM(59808,59817) = 3577535136 / 3
LCM(59808,59817) = 1192511712

Least Common Multiple (LCM) of 59808 and 59817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59808 and 59817. First we will calculate the prime factors of 59808 and 59817.

Prime Factorization of 59808

Prime Factorization of 59817

Now multiplying the highest exponent prime factors to calculate the LCM of 59808 and 59817.

LCM(59808,59817) = 2⁵ × 3¹ × 7¹ × 89¹ × 127¹ × 157¹
LCM(59808,59817) = 1192511712