What is the Least Common Multiple of 69975 and 69981?

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 69975 and 69981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69975 and 69981, than apply into the LCM equation.

GCF(69975,69981) = 3
LCM(69975,69981) = ( 69975 × 69981) / 3
LCM(69975,69981) = 4896920475 / 3
LCM(69975,69981) = 1632306825

Least Common Multiple (LCM) of 69975 and 69981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69975 and 69981. First we will calculate the prime factors of 69975 and 69981.

Prime Factorization of 69975

Prime Factorization of 69981

Now multiplying the highest exponent prime factors to calculate the LCM of 69975 and 69981.

LCM(69975,69981) = 3² × 5² × 311¹ × 23327¹
LCM(69975,69981) = 1632306825