What is the Least Common Multiple of 88065 and 88070?

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 88065 and 88070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88065 and 88070, than apply into the LCM equation.

GCF(88065,88070) = 5
LCM(88065,88070) = ( 88065 × 88070) / 5
LCM(88065,88070) = 7755884550 / 5
LCM(88065,88070) = 1551176910

Least Common Multiple (LCM) of 88065 and 88070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88065 and 88070. First we will calculate the prime factors of 88065 and 88070.

Prime Factorization of 88065

Prime Factorization of 88070

Now multiplying the highest exponent prime factors to calculate the LCM of 88065 and 88070.

LCM(88065,88070) = 3² × 5¹ × 19¹ × 103¹ × 2¹ × 8807¹
LCM(88065,88070) = 1551176910