What is the Least Common Multiple of 88302 and 88310?

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 88302 and 88310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88302 and 88310, than apply into the LCM equation.

GCF(88302,88310) = 2
LCM(88302,88310) = ( 88302 × 88310) / 2
LCM(88302,88310) = 7797949620 / 2
LCM(88302,88310) = 3898974810

Least Common Multiple (LCM) of 88302 and 88310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88302 and 88310. First we will calculate the prime factors of 88302 and 88310.

Prime Factorization of 88302

Prime Factorization of 88310

Now multiplying the highest exponent prime factors to calculate the LCM of 88302 and 88310.

LCM(88302,88310) = 2¹ × 3¹ × 14717¹ × 5¹ × 8831¹
LCM(88302,88310) = 3898974810