What is the Least Common Multiple of 89090 and 89095?

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 89090 and 89095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89090 and 89095, than apply into the LCM equation.

GCF(89090,89095) = 5
LCM(89090,89095) = ( 89090 × 89095) / 5
LCM(89090,89095) = 7937473550 / 5
LCM(89090,89095) = 1587494710

Least Common Multiple (LCM) of 89090 and 89095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89090 and 89095. First we will calculate the prime factors of 89090 and 89095.

Prime Factorization of 89090

Prime Factorization of 89095

Now multiplying the highest exponent prime factors to calculate the LCM of 89090 and 89095.

LCM(89090,89095) = 2¹ × 5¹ × 59¹ × 151¹ × 103¹ × 173¹
LCM(89090,89095) = 1587494710