What is the Least Common Multiple of 68676 and 68686?

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 68676 and 68686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68676 and 68686, than apply into the LCM equation.

GCF(68676,68686) = 2
LCM(68676,68686) = ( 68676 × 68686) / 2
LCM(68676,68686) = 4717079736 / 2
LCM(68676,68686) = 2358539868

Least Common Multiple (LCM) of 68676 and 68686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68676 and 68686. First we will calculate the prime factors of 68676 and 68686.

Prime Factorization of 68676

Prime Factorization of 68686

Now multiplying the highest exponent prime factors to calculate the LCM of 68676 and 68686.

LCM(68676,68686) = 2² × 3¹ × 59¹ × 97¹ × 61¹ × 563¹
LCM(68676,68686) = 2358539868