What is the Least Common Multiple of 59793 and 59812?

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 59793 and 59812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59793 and 59812, than apply into the LCM equation.

GCF(59793,59812) = 19
LCM(59793,59812) = ( 59793 × 59812) / 19
LCM(59793,59812) = 3576338916 / 19
LCM(59793,59812) = 188228364

Least Common Multiple (LCM) of 59793 and 59812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59793 and 59812. First we will calculate the prime factors of 59793 and 59812.

Prime Factorization of 59793

Prime Factorization of 59812

Now multiplying the highest exponent prime factors to calculate the LCM of 59793 and 59812.

LCM(59793,59812) = 3¹ × 19¹ × 1049¹ × 2² × 787¹
LCM(59793,59812) = 188228364