What is the Least Common Multiple of 99920 and 99925?

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 99920 and 99925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99920 and 99925, than apply into the LCM equation.

GCF(99920,99925) = 5
LCM(99920,99925) = ( 99920 × 99925) / 5
LCM(99920,99925) = 9984506000 / 5
LCM(99920,99925) = 1996901200

Least Common Multiple (LCM) of 99920 and 99925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99920 and 99925. First we will calculate the prime factors of 99920 and 99925.

Prime Factorization of 99920

Prime Factorization of 99925

Now multiplying the highest exponent prime factors to calculate the LCM of 99920 and 99925.

LCM(99920,99925) = 2⁴ × 5² × 1249¹ × 7¹ × 571¹
LCM(99920,99925) = 1996901200