What is the Least Common Multiple of 52038 and 52058?

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 52038 and 52058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52038 and 52058, than apply into the LCM equation.

GCF(52038,52058) = 2
LCM(52038,52058) = ( 52038 × 52058) / 2
LCM(52038,52058) = 2708994204 / 2
LCM(52038,52058) = 1354497102

Least Common Multiple (LCM) of 52038 and 52058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52038 and 52058. First we will calculate the prime factors of 52038 and 52058.

Prime Factorization of 52038

Prime Factorization of 52058

Now multiplying the highest exponent prime factors to calculate the LCM of 52038 and 52058.

LCM(52038,52058) = 2¹ × 3² × 7² × 59¹ × 26029¹
LCM(52038,52058) = 1354497102