What is the Least Common Multiple of 69855 and 69875?

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 69855 and 69875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69855 and 69875, than apply into the LCM equation.

GCF(69855,69875) = 5
LCM(69855,69875) = ( 69855 × 69875) / 5
LCM(69855,69875) = 4881118125 / 5
LCM(69855,69875) = 976223625

Least Common Multiple (LCM) of 69855 and 69875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69855 and 69875. First we will calculate the prime factors of 69855 and 69875.

Prime Factorization of 69855

Prime Factorization of 69875

Now multiplying the highest exponent prime factors to calculate the LCM of 69855 and 69875.

LCM(69855,69875) = 3¹ × 5³ × 4657¹ × 13¹ × 43¹
LCM(69855,69875) = 976223625