What is the Least Common Multiple of 62720 and 62734?

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 62720 and 62734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62720 and 62734, than apply into the LCM equation.

GCF(62720,62734) = 14
LCM(62720,62734) = ( 62720 × 62734) / 14
LCM(62720,62734) = 3934676480 / 14
LCM(62720,62734) = 281048320

Least Common Multiple (LCM) of 62720 and 62734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62720 and 62734. First we will calculate the prime factors of 62720 and 62734.

Prime Factorization of 62720

Prime Factorization of 62734

Now multiplying the highest exponent prime factors to calculate the LCM of 62720 and 62734.

LCM(62720,62734) = 2⁸ × 5¹ × 7² × 4481¹
LCM(62720,62734) = 281048320