What is the Least Common Multiple of 88645 and 88660?

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 88645 and 88660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88645 and 88660, than apply into the LCM equation.

GCF(88645,88660) = 5
LCM(88645,88660) = ( 88645 × 88660) / 5
LCM(88645,88660) = 7859265700 / 5
LCM(88645,88660) = 1571853140

Least Common Multiple (LCM) of 88645 and 88660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88645 and 88660. First we will calculate the prime factors of 88645 and 88660.

Prime Factorization of 88645

Prime Factorization of 88660

Now multiplying the highest exponent prime factors to calculate the LCM of 88645 and 88660.

LCM(88645,88660) = 5¹ × 17729¹ × 2² × 11¹ × 13¹ × 31¹
LCM(88645,88660) = 1571853140