What is the Least Common Multiple of 86528 and 86540?

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 86528 and 86540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86528 and 86540, than apply into the LCM equation.

GCF(86528,86540) = 4
LCM(86528,86540) = ( 86528 × 86540) / 4
LCM(86528,86540) = 7488133120 / 4
LCM(86528,86540) = 1872033280

Least Common Multiple (LCM) of 86528 and 86540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86528 and 86540. First we will calculate the prime factors of 86528 and 86540.

Prime Factorization of 86528

Prime Factorization of 86540

Now multiplying the highest exponent prime factors to calculate the LCM of 86528 and 86540.

LCM(86528,86540) = 2⁹ × 13² × 5¹ × 4327¹
LCM(86528,86540) = 1872033280