What is the Least Common Multiple of 87934 and 87946?

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 87934 and 87946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87934 and 87946, than apply into the LCM equation.

GCF(87934,87946) = 2
LCM(87934,87946) = ( 87934 × 87946) / 2
LCM(87934,87946) = 7733443564 / 2
LCM(87934,87946) = 3866721782

Least Common Multiple (LCM) of 87934 and 87946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87934 and 87946. First we will calculate the prime factors of 87934 and 87946.

Prime Factorization of 87934

Prime Factorization of 87946

Now multiplying the highest exponent prime factors to calculate the LCM of 87934 and 87946.

LCM(87934,87946) = 2¹ × 7¹ × 11¹ × 571¹ × 43973¹
LCM(87934,87946) = 3866721782