What is the Least Common Multiple of 88710 and 88719?

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 88710 and 88719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88710 and 88719, than apply into the LCM equation.

GCF(88710,88719) = 3
LCM(88710,88719) = ( 88710 × 88719) / 3
LCM(88710,88719) = 7870262490 / 3
LCM(88710,88719) = 2623420830

Least Common Multiple (LCM) of 88710 and 88719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88710 and 88719. First we will calculate the prime factors of 88710 and 88719.

Prime Factorization of 88710

Prime Factorization of 88719

Now multiplying the highest exponent prime factors to calculate the LCM of 88710 and 88719.

LCM(88710,88719) = 2¹ × 3¹ × 5¹ × 2957¹ × 29573¹
LCM(88710,88719) = 2623420830