What is the Least Common Multiple of 47706 and 47715?

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 47706 and 47715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47706 and 47715, than apply into the LCM equation.

GCF(47706,47715) = 3
LCM(47706,47715) = ( 47706 × 47715) / 3
LCM(47706,47715) = 2276291790 / 3
LCM(47706,47715) = 758763930

Least Common Multiple (LCM) of 47706 and 47715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47706 and 47715. First we will calculate the prime factors of 47706 and 47715.

Prime Factorization of 47706

Prime Factorization of 47715

Now multiplying the highest exponent prime factors to calculate the LCM of 47706 and 47715.

LCM(47706,47715) = 2¹ × 3¹ × 7951¹ × 5¹ × 3181¹
LCM(47706,47715) = 758763930