What is the Least Common Multiple of 62075 and 62088?

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 62075 and 62088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62075 and 62088, than apply into the LCM equation.

GCF(62075,62088) = 13
LCM(62075,62088) = ( 62075 × 62088) / 13
LCM(62075,62088) = 3854112600 / 13
LCM(62075,62088) = 296470200

Least Common Multiple (LCM) of 62075 and 62088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62075 and 62088. First we will calculate the prime factors of 62075 and 62088.

Prime Factorization of 62075

Prime Factorization of 62088

Now multiplying the highest exponent prime factors to calculate the LCM of 62075 and 62088.

LCM(62075,62088) = 5² × 13¹ × 191¹ × 2³ × 3¹ × 199¹
LCM(62075,62088) = 296470200