What is the Least Common Multiple of 88720 and 88740?

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 88720 and 88740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88720 and 88740, than apply into the LCM equation.

GCF(88720,88740) = 20
LCM(88720,88740) = ( 88720 × 88740) / 20
LCM(88720,88740) = 7873012800 / 20
LCM(88720,88740) = 393650640

Least Common Multiple (LCM) of 88720 and 88740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88720 and 88740. First we will calculate the prime factors of 88720 and 88740.

Prime Factorization of 88720

Prime Factorization of 88740

Now multiplying the highest exponent prime factors to calculate the LCM of 88720 and 88740.

LCM(88720,88740) = 2⁴ × 5¹ × 1109¹ × 3² × 17¹ × 29¹
LCM(88720,88740) = 393650640