What is the Least Common Multiple of 89075 and 89081?

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 89075 and 89081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89075 and 89081, than apply into the LCM equation.

GCF(89075,89081) = 1
LCM(89075,89081) = ( 89075 × 89081) / 1
LCM(89075,89081) = 7934890075 / 1
LCM(89075,89081) = 7934890075

Least Common Multiple (LCM) of 89075 and 89081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89075 and 89081. First we will calculate the prime factors of 89075 and 89081.

Prime Factorization of 89075

Prime Factorization of 89081

Now multiplying the highest exponent prime factors to calculate the LCM of 89075 and 89081.

LCM(89075,89081) = 5² × 7¹ × 509¹ × 229¹ × 389¹
LCM(89075,89081) = 7934890075