What is the Least Common Multiple of 88670 and 88680?

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 88670 and 88680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88670 and 88680, than apply into the LCM equation.

GCF(88670,88680) = 10
LCM(88670,88680) = ( 88670 × 88680) / 10
LCM(88670,88680) = 7863255600 / 10
LCM(88670,88680) = 786325560

Least Common Multiple (LCM) of 88670 and 88680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88670 and 88680. First we will calculate the prime factors of 88670 and 88680.

Prime Factorization of 88670

Prime Factorization of 88680

Now multiplying the highest exponent prime factors to calculate the LCM of 88670 and 88680.

LCM(88670,88680) = 2³ × 5¹ × 8867¹ × 3¹ × 739¹
LCM(88670,88680) = 786325560