What is the Least Common Multiple of 62142 and 62152?

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 62142 and 62152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62142 and 62152, than apply into the LCM equation.

GCF(62142,62152) = 2
LCM(62142,62152) = ( 62142 × 62152) / 2
LCM(62142,62152) = 3862249584 / 2
LCM(62142,62152) = 1931124792

Least Common Multiple (LCM) of 62142 and 62152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62142 and 62152. First we will calculate the prime factors of 62142 and 62152.

Prime Factorization of 62142

Prime Factorization of 62152

Now multiplying the highest exponent prime factors to calculate the LCM of 62142 and 62152.

LCM(62142,62152) = 2³ × 3¹ × 10357¹ × 17¹ × 457¹
LCM(62142,62152) = 1931124792