What is the Least Common Multiple of 95643 and 95655?

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 95643 and 95655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95643 and 95655, than apply into the LCM equation.

GCF(95643,95655) = 3
LCM(95643,95655) = ( 95643 × 95655) / 3
LCM(95643,95655) = 9148731165 / 3
LCM(95643,95655) = 3049577055

Least Common Multiple (LCM) of 95643 and 95655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95643 and 95655. First we will calculate the prime factors of 95643 and 95655.

Prime Factorization of 95643

Prime Factorization of 95655

Now multiplying the highest exponent prime factors to calculate the LCM of 95643 and 95655.

LCM(95643,95655) = 3² × 10627¹ × 5¹ × 7¹ × 911¹
LCM(95643,95655) = 3049577055