What is the Least Common Multiple of 62700 and 62712?

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 62700 and 62712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62700 and 62712, than apply into the LCM equation.

GCF(62700,62712) = 12
LCM(62700,62712) = ( 62700 × 62712) / 12
LCM(62700,62712) = 3932042400 / 12
LCM(62700,62712) = 327670200

Least Common Multiple (LCM) of 62700 and 62712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62700 and 62712. First we will calculate the prime factors of 62700 and 62712.

Prime Factorization of 62700

Prime Factorization of 62712

Now multiplying the highest exponent prime factors to calculate the LCM of 62700 and 62712.

LCM(62700,62712) = 2³ × 3² × 5² × 11¹ × 19¹ × 13¹ × 67¹
LCM(62700,62712) = 327670200