What is the Least Common Multiple of 62346 and 62352?

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 62346 and 62352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62346 and 62352, than apply into the LCM equation.

GCF(62346,62352) = 6
LCM(62346,62352) = ( 62346 × 62352) / 6
LCM(62346,62352) = 3887397792 / 6
LCM(62346,62352) = 647899632

Least Common Multiple (LCM) of 62346 and 62352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62346 and 62352. First we will calculate the prime factors of 62346 and 62352.

Prime Factorization of 62346

Prime Factorization of 62352

Now multiplying the highest exponent prime factors to calculate the LCM of 62346 and 62352.

LCM(62346,62352) = 2⁴ × 3² × 10391¹ × 433¹
LCM(62346,62352) = 647899632