What is the Least Common Multiple of 7715 and 7731?

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 7715 and 7731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7715 and 7731, than apply into the LCM equation.

GCF(7715,7731) = 1
LCM(7715,7731) = ( 7715 × 7731) / 1
LCM(7715,7731) = 59644665 / 1
LCM(7715,7731) = 59644665

Least Common Multiple (LCM) of 7715 and 7731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7715 and 7731. First we will calculate the prime factors of 7715 and 7731.

Prime Factorization of 7715

Prime Factorization of 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 7715 and 7731.

LCM(7715,7731) = 5¹ × 1543¹ × 3² × 859¹
LCM(7715,7731) = 59644665