What is the Least Common Multiple of 95635 and 95640?

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 95635 and 95640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95635 and 95640, than apply into the LCM equation.

GCF(95635,95640) = 5
LCM(95635,95640) = ( 95635 × 95640) / 5
LCM(95635,95640) = 9146531400 / 5
LCM(95635,95640) = 1829306280

Least Common Multiple (LCM) of 95635 and 95640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95635 and 95640. First we will calculate the prime factors of 95635 and 95640.

Prime Factorization of 95635

Prime Factorization of 95640

Now multiplying the highest exponent prime factors to calculate the LCM of 95635 and 95640.

LCM(95635,95640) = 5¹ × 31¹ × 617¹ × 2³ × 3¹ × 797¹
LCM(95635,95640) = 1829306280