What is the Least Common Multiple of 88116 and 88128?

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 88116 and 88128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88116 and 88128, than apply into the LCM equation.

GCF(88116,88128) = 12
LCM(88116,88128) = ( 88116 × 88128) / 12
LCM(88116,88128) = 7765486848 / 12
LCM(88116,88128) = 647123904

Least Common Multiple (LCM) of 88116 and 88128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88116 and 88128. First we will calculate the prime factors of 88116 and 88128.

Prime Factorization of 88116

Prime Factorization of 88128

Now multiplying the highest exponent prime factors to calculate the LCM of 88116 and 88128.

LCM(88116,88128) = 2⁶ × 3⁴ × 7¹ × 1049¹ × 17¹
LCM(88116,88128) = 647123904