What is the Least Common Multiple of 98920 and 98925?

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 98920 and 98925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98920 and 98925, than apply into the LCM equation.

GCF(98920,98925) = 5
LCM(98920,98925) = ( 98920 × 98925) / 5
LCM(98920,98925) = 9785661000 / 5
LCM(98920,98925) = 1957132200

Least Common Multiple (LCM) of 98920 and 98925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98920 and 98925. First we will calculate the prime factors of 98920 and 98925.

Prime Factorization of 98920

Prime Factorization of 98925

Now multiplying the highest exponent prime factors to calculate the LCM of 98920 and 98925.

LCM(98920,98925) = 2³ × 5² × 2473¹ × 3¹ × 1319¹
LCM(98920,98925) = 1957132200