What is the Least Common Multiple of 86540 and 86557?

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 86540 and 86557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86540 and 86557, than apply into the LCM equation.

GCF(86540,86557) = 1
LCM(86540,86557) = ( 86540 × 86557) / 1
LCM(86540,86557) = 7490642780 / 1
LCM(86540,86557) = 7490642780

Least Common Multiple (LCM) of 86540 and 86557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86540 and 86557. First we will calculate the prime factors of 86540 and 86557.

Prime Factorization of 86540

Prime Factorization of 86557

Now multiplying the highest exponent prime factors to calculate the LCM of 86540 and 86557.

LCM(86540,86557) = 2² × 5¹ × 4327¹ × 101¹ × 857¹
LCM(86540,86557) = 7490642780