What is the Least Common Multiple of 69975 and 69995?

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 69995 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 69995, than apply into the LCM equation.

GCF(69975,69995) = 5
LCM(69975,69995) = ( 69975 × 69995) / 5
LCM(69975,69995) = 4897900125 / 5
LCM(69975,69995) = 979580025

Least Common Multiple (LCM) of 69975 and 69995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69975 and 69995. First we will calculate the prime factors of 69975 and 69995.

Prime Factorization of 69975

Prime Factorization of 69995

Now multiplying the highest exponent prime factors to calculate the LCM of 69975 and 69995.

LCM(69975,69995) = 3² × 5² × 311¹ × 13999¹
LCM(69975,69995) = 979580025