What is the Least Common Multiple of 96846 and 96852?

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 96846 and 96852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96846 and 96852, than apply into the LCM equation.

GCF(96846,96852) = 6
LCM(96846,96852) = ( 96846 × 96852) / 6
LCM(96846,96852) = 9379728792 / 6
LCM(96846,96852) = 1563288132

Least Common Multiple (LCM) of 96846 and 96852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96846 and 96852. First we will calculate the prime factors of 96846 and 96852.

Prime Factorization of 96846

Prime Factorization of 96852

Now multiplying the highest exponent prime factors to calculate the LCM of 96846 and 96852.

LCM(96846,96852) = 2² × 3¹ × 16141¹ × 7¹ × 1153¹
LCM(96846,96852) = 1563288132