What is the Least Common Multiple of 86646 and 86657?

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 86646 and 86657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86646 and 86657, than apply into the LCM equation.

GCF(86646,86657) = 1
LCM(86646,86657) = ( 86646 × 86657) / 1
LCM(86646,86657) = 7508482422 / 1
LCM(86646,86657) = 7508482422

Least Common Multiple (LCM) of 86646 and 86657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86646 and 86657. First we will calculate the prime factors of 86646 and 86657.

Prime Factorization of 86646

Prime Factorization of 86657

Now multiplying the highest exponent prime factors to calculate the LCM of 86646 and 86657.

LCM(86646,86657) = 2¹ × 3¹ × 7¹ × 2063¹ × 193¹ × 449¹
LCM(86646,86657) = 7508482422