What is the Least Common Multiple of 62394 and 62400?

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 62394 and 62400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62394 and 62400, than apply into the LCM equation.

GCF(62394,62400) = 6
LCM(62394,62400) = ( 62394 × 62400) / 6
LCM(62394,62400) = 3893385600 / 6
LCM(62394,62400) = 648897600

Least Common Multiple (LCM) of 62394 and 62400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62394 and 62400. First we will calculate the prime factors of 62394 and 62400.

Prime Factorization of 62394

Prime Factorization of 62400

Now multiplying the highest exponent prime factors to calculate the LCM of 62394 and 62400.

LCM(62394,62400) = 2⁶ × 3¹ × 10399¹ × 5² × 13¹
LCM(62394,62400) = 648897600