What is the Least Common Multiple of 96684 and 96698?

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 96684 and 96698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96684 and 96698, than apply into the LCM equation.

GCF(96684,96698) = 14
LCM(96684,96698) = ( 96684 × 96698) / 14
LCM(96684,96698) = 9349149432 / 14
LCM(96684,96698) = 667796388

Least Common Multiple (LCM) of 96684 and 96698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96684 and 96698. First we will calculate the prime factors of 96684 and 96698.

Prime Factorization of 96684

Prime Factorization of 96698

Now multiplying the highest exponent prime factors to calculate the LCM of 96684 and 96698.

LCM(96684,96698) = 2² × 3¹ × 7¹ × 1151¹ × 6907¹
LCM(96684,96698) = 667796388