What is the Least Common Multiple of 99552 and 99565?

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 99552 and 99565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99552 and 99565, than apply into the LCM equation.

GCF(99552,99565) = 1
LCM(99552,99565) = ( 99552 × 99565) / 1
LCM(99552,99565) = 9911894880 / 1
LCM(99552,99565) = 9911894880

Least Common Multiple (LCM) of 99552 and 99565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99552 and 99565. First we will calculate the prime factors of 99552 and 99565.

Prime Factorization of 99552

Prime Factorization of 99565

Now multiplying the highest exponent prime factors to calculate the LCM of 99552 and 99565.

LCM(99552,99565) = 2⁵ × 3¹ × 17¹ × 61¹ × 5¹ × 19913¹
LCM(99552,99565) = 9911894880