What is the Least Common Multiple of 69676 and 69693?

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 69676 and 69693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69676 and 69693, than apply into the LCM equation.

GCF(69676,69693) = 1
LCM(69676,69693) = ( 69676 × 69693) / 1
LCM(69676,69693) = 4855929468 / 1
LCM(69676,69693) = 4855929468

Least Common Multiple (LCM) of 69676 and 69693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69676 and 69693. First we will calculate the prime factors of 69676 and 69693.

Prime Factorization of 69676

Prime Factorization of 69693

Now multiplying the highest exponent prime factors to calculate the LCM of 69676 and 69693.

LCM(69676,69693) = 2² × 17419¹ × 3¹ × 13¹ × 1787¹
LCM(69676,69693) = 4855929468