What is the Least Common Multiple of 69906 and 69925?

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 69906 and 69925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69906 and 69925, than apply into the LCM equation.

GCF(69906,69925) = 1
LCM(69906,69925) = ( 69906 × 69925) / 1
LCM(69906,69925) = 4888177050 / 1
LCM(69906,69925) = 4888177050

Least Common Multiple (LCM) of 69906 and 69925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69906 and 69925. First we will calculate the prime factors of 69906 and 69925.

Prime Factorization of 69906

Prime Factorization of 69925

Now multiplying the highest exponent prime factors to calculate the LCM of 69906 and 69925.

LCM(69906,69925) = 2¹ × 3¹ × 61¹ × 191¹ × 5² × 2797¹
LCM(69906,69925) = 4888177050