What is the Least Common Multiple of 62120 and 62140?

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 62120 and 62140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62120 and 62140, than apply into the LCM equation.

GCF(62120,62140) = 20
LCM(62120,62140) = ( 62120 × 62140) / 20
LCM(62120,62140) = 3860136800 / 20
LCM(62120,62140) = 193006840

Least Common Multiple (LCM) of 62120 and 62140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62120 and 62140. First we will calculate the prime factors of 62120 and 62140.

Prime Factorization of 62120

Prime Factorization of 62140

Now multiplying the highest exponent prime factors to calculate the LCM of 62120 and 62140.

LCM(62120,62140) = 2³ × 5¹ × 1553¹ × 13¹ × 239¹
LCM(62120,62140) = 193006840