What is the Least Common Multiple of 8710 and 8730?

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 8710 and 8730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8710 and 8730, than apply into the LCM equation.

GCF(8710,8730) = 10
LCM(8710,8730) = ( 8710 × 8730) / 10
LCM(8710,8730) = 76038300 / 10
LCM(8710,8730) = 7603830

Least Common Multiple (LCM) of 8710 and 8730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8710 and 8730. First we will calculate the prime factors of 8710 and 8730.

Prime Factorization of 8710

Prime Factorization of 8730

Now multiplying the highest exponent prime factors to calculate the LCM of 8710 and 8730.

LCM(8710,8730) = 2¹ × 5¹ × 13¹ × 67¹ × 3² × 97¹
LCM(8710,8730) = 7603830