What is the Least Common Multiple of 62352 and 62358?

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 62358 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 62358, than apply into the LCM equation.

GCF(62352,62358) = 6
LCM(62352,62358) = ( 62352 × 62358) / 6
LCM(62352,62358) = 3888146016 / 6
LCM(62352,62358) = 648024336

Least Common Multiple (LCM) of 62352 and 62358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62352 and 62358. First we will calculate the prime factors of 62352 and 62358.

Prime Factorization of 62352

Prime Factorization of 62358

Now multiplying the highest exponent prime factors to calculate the LCM of 62352 and 62358.

LCM(62352,62358) = 2⁴ × 3² × 433¹ × 19¹ × 547¹
LCM(62352,62358) = 648024336