What is the Least Common Multiple of 96684 and 96694?

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 96694 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 96694, than apply into the LCM equation.

GCF(96684,96694) = 2
LCM(96684,96694) = ( 96684 × 96694) / 2
LCM(96684,96694) = 9348762696 / 2
LCM(96684,96694) = 4674381348

Least Common Multiple (LCM) of 96684 and 96694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96684 and 96694. First we will calculate the prime factors of 96684 and 96694.

Prime Factorization of 96684

Prime Factorization of 96694

Now multiplying the highest exponent prime factors to calculate the LCM of 96684 and 96694.

LCM(96684,96694) = 2² × 3¹ × 7¹ × 1151¹ × 13¹ × 3719¹
LCM(96684,96694) = 4674381348