What is the Least Common Multiple of 99540 and 99549?

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 99540 and 99549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99540 and 99549, than apply into the LCM equation.

GCF(99540,99549) = 9
LCM(99540,99549) = ( 99540 × 99549) / 9
LCM(99540,99549) = 9909107460 / 9
LCM(99540,99549) = 1101011940

Least Common Multiple (LCM) of 99540 and 99549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99540 and 99549. First we will calculate the prime factors of 99540 and 99549.

Prime Factorization of 99540

Prime Factorization of 99549

Now multiplying the highest exponent prime factors to calculate the LCM of 99540 and 99549.

LCM(99540,99549) = 2² × 3⁴ × 5¹ × 7¹ × 79¹ × 1229¹
LCM(99540,99549) = 1101011940