What is the Least Common Multiple of 56717 and 56731?

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 56717 and 56731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56717 and 56731, than apply into the LCM equation.

GCF(56717,56731) = 1
LCM(56717,56731) = ( 56717 × 56731) / 1
LCM(56717,56731) = 3217612127 / 1
LCM(56717,56731) = 3217612127

Least Common Multiple (LCM) of 56717 and 56731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56717 and 56731. First we will calculate the prime factors of 56717 and 56731.

Prime Factorization of 56717

Prime Factorization of 56731

Now multiplying the highest exponent prime factors to calculate the LCM of 56717 and 56731.

LCM(56717,56731) = 43¹ × 1319¹ × 56731¹
LCM(56717,56731) = 3217612127