What is the Least Common Multiple of 88700 and 88705?

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 88700 and 88705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88700 and 88705, than apply into the LCM equation.

GCF(88700,88705) = 5
LCM(88700,88705) = ( 88700 × 88705) / 5
LCM(88700,88705) = 7868133500 / 5
LCM(88700,88705) = 1573626700

Least Common Multiple (LCM) of 88700 and 88705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88700 and 88705. First we will calculate the prime factors of 88700 and 88705.

Prime Factorization of 88700

Prime Factorization of 88705

Now multiplying the highest exponent prime factors to calculate the LCM of 88700 and 88705.

LCM(88700,88705) = 2² × 5² × 887¹ × 113¹ × 157¹
LCM(88700,88705) = 1573626700