What is the Least Common Multiple of 88645 and 88655?

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 88655 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 88655, than apply into the LCM equation.

GCF(88645,88655) = 5
LCM(88645,88655) = ( 88645 × 88655) / 5
LCM(88645,88655) = 7858822475 / 5
LCM(88645,88655) = 1571764495

Least Common Multiple (LCM) of 88645 and 88655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88645 and 88655. First we will calculate the prime factors of 88645 and 88655.

Prime Factorization of 88645

Prime Factorization of 88655

Now multiplying the highest exponent prime factors to calculate the LCM of 88645 and 88655.

LCM(88645,88655) = 5¹ × 17729¹ × 7¹ × 17¹ × 149¹
LCM(88645,88655) = 1571764495