What is the Least Common Multiple of 93146 and 93152?

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 93146 and 93152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93146 and 93152, than apply into the LCM equation.

GCF(93146,93152) = 2
LCM(93146,93152) = ( 93146 × 93152) / 2
LCM(93146,93152) = 8676736192 / 2
LCM(93146,93152) = 4338368096

Least Common Multiple (LCM) of 93146 and 93152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93146 and 93152. First we will calculate the prime factors of 93146 and 93152.

Prime Factorization of 93146

Prime Factorization of 93152

Now multiplying the highest exponent prime factors to calculate the LCM of 93146 and 93152.

LCM(93146,93152) = 2⁵ × 46573¹ × 41¹ × 71¹
LCM(93146,93152) = 4338368096