What is the Least Common Multiple of 89060 and 89065?

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 89060 and 89065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89060 and 89065, than apply into the LCM equation.

GCF(89060,89065) = 5
LCM(89060,89065) = ( 89060 × 89065) / 5
LCM(89060,89065) = 7932128900 / 5
LCM(89060,89065) = 1586425780

Least Common Multiple (LCM) of 89060 and 89065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89060 and 89065. First we will calculate the prime factors of 89060 and 89065.

Prime Factorization of 89060

Prime Factorization of 89065

Now multiplying the highest exponent prime factors to calculate the LCM of 89060 and 89065.

LCM(89060,89065) = 2² × 5¹ × 61¹ × 73¹ × 47¹ × 379¹
LCM(89060,89065) = 1586425780