What is the Least Common Multiple of 62352 and 62364?

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 62364 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 62364, than apply into the LCM equation.

GCF(62352,62364) = 12
LCM(62352,62364) = ( 62352 × 62364) / 12
LCM(62352,62364) = 3888520128 / 12
LCM(62352,62364) = 324043344

Least Common Multiple (LCM) of 62352 and 62364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62352 and 62364. First we will calculate the prime factors of 62352 and 62364.

Prime Factorization of 62352

Prime Factorization of 62364

Now multiplying the highest exponent prime factors to calculate the LCM of 62352 and 62364.

LCM(62352,62364) = 2⁴ × 3² × 433¹ × 5197¹
LCM(62352,62364) = 324043344