What is the Least Common Multiple of 85575 and 85582?

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 85575 and 85582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85575 and 85582, than apply into the LCM equation.

GCF(85575,85582) = 7
LCM(85575,85582) = ( 85575 × 85582) / 7
LCM(85575,85582) = 7323679650 / 7
LCM(85575,85582) = 1046239950

Least Common Multiple (LCM) of 85575 and 85582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85575 and 85582. First we will calculate the prime factors of 85575 and 85582.

Prime Factorization of 85575

Prime Factorization of 85582

Now multiplying the highest exponent prime factors to calculate the LCM of 85575 and 85582.

LCM(85575,85582) = 3¹ × 5² × 7¹ × 163¹ × 2¹ × 6113¹
LCM(85575,85582) = 1046239950