What is the Least Common Multiple of 62094 and 62108?

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 62094 and 62108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62094 and 62108, than apply into the LCM equation.

GCF(62094,62108) = 2
LCM(62094,62108) = ( 62094 × 62108) / 2
LCM(62094,62108) = 3856534152 / 2
LCM(62094,62108) = 1928267076

Least Common Multiple (LCM) of 62094 and 62108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62094 and 62108. First we will calculate the prime factors of 62094 and 62108.

Prime Factorization of 62094

Prime Factorization of 62108

Now multiplying the highest exponent prime factors to calculate the LCM of 62094 and 62108.

LCM(62094,62108) = 2² × 3¹ × 79¹ × 131¹ × 15527¹
LCM(62094,62108) = 1928267076