What is the Least Common Multiple of 99560 and 99575?

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 99560 and 99575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99560 and 99575, than apply into the LCM equation.

GCF(99560,99575) = 5
LCM(99560,99575) = ( 99560 × 99575) / 5
LCM(99560,99575) = 9913687000 / 5
LCM(99560,99575) = 1982737400

Least Common Multiple (LCM) of 99560 and 99575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99560 and 99575. First we will calculate the prime factors of 99560 and 99575.

Prime Factorization of 99560

Prime Factorization of 99575

Now multiplying the highest exponent prime factors to calculate the LCM of 99560 and 99575.

LCM(99560,99575) = 2³ × 5² × 19¹ × 131¹ × 7¹ × 569¹
LCM(99560,99575) = 1982737400