What is the Least Common Multiple of 69975 and 69994?

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 69994 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 69994, than apply into the LCM equation.

GCF(69975,69994) = 1
LCM(69975,69994) = ( 69975 × 69994) / 1
LCM(69975,69994) = 4897830150 / 1
LCM(69975,69994) = 4897830150

Least Common Multiple (LCM) of 69975 and 69994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69975 and 69994. First we will calculate the prime factors of 69975 and 69994.

Prime Factorization of 69975

Prime Factorization of 69994

Now multiplying the highest exponent prime factors to calculate the LCM of 69975 and 69994.

LCM(69975,69994) = 3² × 5² × 311¹ × 2¹ × 79¹ × 443¹
LCM(69975,69994) = 4897830150