What is the Least Common Multiple of 62352 and 62370?

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 62352 and 62370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62352 and 62370, than apply into the LCM equation.

GCF(62352,62370) = 18
LCM(62352,62370) = ( 62352 × 62370) / 18
LCM(62352,62370) = 3888894240 / 18
LCM(62352,62370) = 216049680

Least Common Multiple (LCM) of 62352 and 62370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62352 and 62370. First we will calculate the prime factors of 62352 and 62370.

Prime Factorization of 62352

Prime Factorization of 62370

Now multiplying the highest exponent prime factors to calculate the LCM of 62352 and 62370.

LCM(62352,62370) = 2⁴ × 3⁴ × 433¹ × 5¹ × 7¹ × 11¹
LCM(62352,62370) = 216049680