What is the Least Common Multiple of 96544 and 96548?

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 96544 and 96548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96544 and 96548, than apply into the LCM equation.

GCF(96544,96548) = 4
LCM(96544,96548) = ( 96544 × 96548) / 4
LCM(96544,96548) = 9321130112 / 4
LCM(96544,96548) = 2330282528

Least Common Multiple (LCM) of 96544 and 96548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96544 and 96548. First we will calculate the prime factors of 96544 and 96548.

Prime Factorization of 96544

Prime Factorization of 96548

Now multiplying the highest exponent prime factors to calculate the LCM of 96544 and 96548.

LCM(96544,96548) = 2⁵ × 7¹ × 431¹ × 24137¹
LCM(96544,96548) = 2330282528