What is the Least Common Multiple of 59238 and 59250?

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 59238 and 59250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59238 and 59250, than apply into the LCM equation.

GCF(59238,59250) = 6
LCM(59238,59250) = ( 59238 × 59250) / 6
LCM(59238,59250) = 3509851500 / 6
LCM(59238,59250) = 584975250

Least Common Multiple (LCM) of 59238 and 59250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59238 and 59250. First we will calculate the prime factors of 59238 and 59250.

Prime Factorization of 59238

Prime Factorization of 59250

Now multiplying the highest exponent prime factors to calculate the LCM of 59238 and 59250.

LCM(59238,59250) = 2¹ × 3³ × 1097¹ × 5³ × 79¹
LCM(59238,59250) = 584975250