What is the Least Common Multiple of 62109 and 62123?

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 62109 and 62123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62109 and 62123, than apply into the LCM equation.

GCF(62109,62123) = 1
LCM(62109,62123) = ( 62109 × 62123) / 1
LCM(62109,62123) = 3858397407 / 1
LCM(62109,62123) = 3858397407

Least Common Multiple (LCM) of 62109 and 62123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62109 and 62123. First we will calculate the prime factors of 62109 and 62123.

Prime Factorization of 62109

Prime Factorization of 62123

Now multiplying the highest exponent prime factors to calculate the LCM of 62109 and 62123.

LCM(62109,62123) = 3² × 67¹ × 103¹ × 23¹ × 37¹ × 73¹
LCM(62109,62123) = 3858397407