What is the Least Common Multiple of 88146 and 88157?

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 88146 and 88157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88146 and 88157, than apply into the LCM equation.

GCF(88146,88157) = 1
LCM(88146,88157) = ( 88146 × 88157) / 1
LCM(88146,88157) = 7770686922 / 1
LCM(88146,88157) = 7770686922

Least Common Multiple (LCM) of 88146 and 88157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88146 and 88157. First we will calculate the prime factors of 88146 and 88157.

Prime Factorization of 88146

Prime Factorization of 88157

Now multiplying the highest exponent prime factors to calculate the LCM of 88146 and 88157.

LCM(88146,88157) = 2¹ × 3² × 59¹ × 83¹ × 199¹ × 443¹
LCM(88146,88157) = 7770686922