What is the Least Common Multiple of 81712 and 81718?

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 81712 and 81718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81712 and 81718, than apply into the LCM equation.

GCF(81712,81718) = 2
LCM(81712,81718) = ( 81712 × 81718) / 2
LCM(81712,81718) = 6677341216 / 2
LCM(81712,81718) = 3338670608

Least Common Multiple (LCM) of 81712 and 81718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81712 and 81718. First we will calculate the prime factors of 81712 and 81718.

Prime Factorization of 81712

Prime Factorization of 81718

Now multiplying the highest exponent prime factors to calculate the LCM of 81712 and 81718.

LCM(81712,81718) = 2⁴ × 5107¹ × 7¹ × 13¹ × 449¹
LCM(81712,81718) = 3338670608