What is the Least Common Multiple of 62644 and 62656?

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 62644 and 62656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62644 and 62656, than apply into the LCM equation.

GCF(62644,62656) = 4
LCM(62644,62656) = ( 62644 × 62656) / 4
LCM(62644,62656) = 3925022464 / 4
LCM(62644,62656) = 981255616

Least Common Multiple (LCM) of 62644 and 62656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62644 and 62656. First we will calculate the prime factors of 62644 and 62656.

Prime Factorization of 62644

Prime Factorization of 62656

Now multiplying the highest exponent prime factors to calculate the LCM of 62644 and 62656.

LCM(62644,62656) = 2⁶ × 15661¹ × 11¹ × 89¹
LCM(62644,62656) = 981255616