What is the Least Common Multiple of 8730 and 8746?

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 8746 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 8746, than apply into the LCM equation.

GCF(8730,8746) = 2
LCM(8730,8746) = ( 8730 × 8746) / 2
LCM(8730,8746) = 76352580 / 2
LCM(8730,8746) = 38176290

Least Common Multiple (LCM) of 8730 and 8746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8730 and 8746. First we will calculate the prime factors of 8730 and 8746.

Prime Factorization of 8730

Prime Factorization of 8746

Now multiplying the highest exponent prime factors to calculate the LCM of 8730 and 8746.

LCM(8730,8746) = 2¹ × 3² × 5¹ × 97¹ × 4373¹
LCM(8730,8746) = 38176290