What is the Least Common Multiple of 62112 and 62118?

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 62118 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 62118, than apply into the LCM equation.

GCF(62112,62118) = 6
LCM(62112,62118) = ( 62112 × 62118) / 6
LCM(62112,62118) = 3858273216 / 6
LCM(62112,62118) = 643045536

Least Common Multiple (LCM) of 62112 and 62118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62112 and 62118. First we will calculate the prime factors of 62112 and 62118.

Prime Factorization of 62112

Prime Factorization of 62118

Now multiplying the highest exponent prime factors to calculate the LCM of 62112 and 62118.

LCM(62112,62118) = 2⁵ × 3² × 647¹ × 7¹ × 17¹ × 29¹
LCM(62112,62118) = 643045536