What is the Least Common Multiple of 62964 and 62978?

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 62964 and 62978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62964 and 62978, than apply into the LCM equation.

GCF(62964,62978) = 2
LCM(62964,62978) = ( 62964 × 62978) / 2
LCM(62964,62978) = 3965346792 / 2
LCM(62964,62978) = 1982673396

Least Common Multiple (LCM) of 62964 and 62978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62964 and 62978. First we will calculate the prime factors of 62964 and 62978.

Prime Factorization of 62964

Prime Factorization of 62978

Now multiplying the highest exponent prime factors to calculate the LCM of 62964 and 62978.

LCM(62964,62978) = 2² × 3³ × 11¹ × 53¹ × 31489¹
LCM(62964,62978) = 1982673396