What is the Least Common Multiple of 88128 and 88146?

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 88128 and 88146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88128 and 88146, than apply into the LCM equation.

GCF(88128,88146) = 18
LCM(88128,88146) = ( 88128 × 88146) / 18
LCM(88128,88146) = 7768130688 / 18
LCM(88128,88146) = 431562816

Least Common Multiple (LCM) of 88128 and 88146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88128 and 88146. First we will calculate the prime factors of 88128 and 88146.

Prime Factorization of 88128

Prime Factorization of 88146

Now multiplying the highest exponent prime factors to calculate the LCM of 88128 and 88146.

LCM(88128,88146) = 2⁶ × 3⁴ × 17¹ × 59¹ × 83¹
LCM(88128,88146) = 431562816