What is the Least Common Multiple of 62704 and 62720?

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 62704 and 62720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62704 and 62720, than apply into the LCM equation.

GCF(62704,62720) = 16
LCM(62704,62720) = ( 62704 × 62720) / 16
LCM(62704,62720) = 3932794880 / 16
LCM(62704,62720) = 245799680

Least Common Multiple (LCM) of 62704 and 62720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62704 and 62720. First we will calculate the prime factors of 62704 and 62720.

Prime Factorization of 62704

Prime Factorization of 62720

Now multiplying the highest exponent prime factors to calculate the LCM of 62704 and 62720.

LCM(62704,62720) = 2⁸ × 3919¹ × 5¹ × 7²
LCM(62704,62720) = 245799680