What is the Least Common Multiple of 62112 and 62128?

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 62112 and 62128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62112 and 62128, than apply into the LCM equation.

GCF(62112,62128) = 16
LCM(62112,62128) = ( 62112 × 62128) / 16
LCM(62112,62128) = 3858894336 / 16
LCM(62112,62128) = 241180896

Least Common Multiple (LCM) of 62112 and 62128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62112 and 62128. First we will calculate the prime factors of 62112 and 62128.

Prime Factorization of 62112

Prime Factorization of 62128

Now multiplying the highest exponent prime factors to calculate the LCM of 62112 and 62128.

LCM(62112,62128) = 2⁵ × 3¹ × 647¹ × 11¹ × 353¹
LCM(62112,62128) = 241180896