What is the Least Common Multiple of 96852 and 96864?

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 96852 and 96864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96852 and 96864, than apply into the LCM equation.

GCF(96852,96864) = 12
LCM(96852,96864) = ( 96852 × 96864) / 12
LCM(96852,96864) = 9381472128 / 12
LCM(96852,96864) = 781789344

Least Common Multiple (LCM) of 96852 and 96864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96852 and 96864. First we will calculate the prime factors of 96852 and 96864.

Prime Factorization of 96852

Prime Factorization of 96864

Now multiplying the highest exponent prime factors to calculate the LCM of 96852 and 96864.

LCM(96852,96864) = 2⁵ × 3¹ × 7¹ × 1153¹ × 1009¹
LCM(96852,96864) = 781789344