What is the Least Common Multiple of 8730 and 8736?

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 8730 and 8736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8730 and 8736, than apply into the LCM equation.

GCF(8730,8736) = 6
LCM(8730,8736) = ( 8730 × 8736) / 6
LCM(8730,8736) = 76265280 / 6
LCM(8730,8736) = 12710880

Least Common Multiple (LCM) of 8730 and 8736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8730 and 8736. First we will calculate the prime factors of 8730 and 8736.

Prime Factorization of 8730

Prime Factorization of 8736

Now multiplying the highest exponent prime factors to calculate the LCM of 8730 and 8736.

LCM(8730,8736) = 2⁵ × 3² × 5¹ × 97¹ × 7¹ × 13¹
LCM(8730,8736) = 12710880