What is the Least Common Multiple of 88075 and 88082?

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 88075 and 88082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88075 and 88082, than apply into the LCM equation.

GCF(88075,88082) = 1
LCM(88075,88082) = ( 88075 × 88082) / 1
LCM(88075,88082) = 7757822150 / 1
LCM(88075,88082) = 7757822150

Least Common Multiple (LCM) of 88075 and 88082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88075 and 88082. First we will calculate the prime factors of 88075 and 88082.

Prime Factorization of 88075

Prime Factorization of 88082

Now multiplying the highest exponent prime factors to calculate the LCM of 88075 and 88082.

LCM(88075,88082) = 5² × 13¹ × 271¹ × 2¹ × 44041¹
LCM(88075,88082) = 7757822150