What is the Least Common Multiple of 62100 and 62109?

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 62100 and 62109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62100 and 62109, than apply into the LCM equation.

GCF(62100,62109) = 9
LCM(62100,62109) = ( 62100 × 62109) / 9
LCM(62100,62109) = 3856968900 / 9
LCM(62100,62109) = 428552100

Least Common Multiple (LCM) of 62100 and 62109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62100 and 62109. First we will calculate the prime factors of 62100 and 62109.

Prime Factorization of 62100

Prime Factorization of 62109

Now multiplying the highest exponent prime factors to calculate the LCM of 62100 and 62109.

LCM(62100,62109) = 2² × 3³ × 5² × 23¹ × 67¹ × 103¹
LCM(62100,62109) = 428552100