What is the Least Common Multiple of 96144 and 96148?

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 96144 and 96148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96144 and 96148, than apply into the LCM equation.

GCF(96144,96148) = 4
LCM(96144,96148) = ( 96144 × 96148) / 4
LCM(96144,96148) = 9244053312 / 4
LCM(96144,96148) = 2311013328

Least Common Multiple (LCM) of 96144 and 96148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96144 and 96148. First we will calculate the prime factors of 96144 and 96148.

Prime Factorization of 96144

Prime Factorization of 96148

Now multiplying the highest exponent prime factors to calculate the LCM of 96144 and 96148.

LCM(96144,96148) = 2⁴ × 3¹ × 2003¹ × 13¹ × 43²
LCM(96144,96148) = 2311013328