What is the Least Common Multiple of 99540 and 99546?

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 99546 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 99546, than apply into the LCM equation.

GCF(99540,99546) = 6
LCM(99540,99546) = ( 99540 × 99546) / 6
LCM(99540,99546) = 9908808840 / 6
LCM(99540,99546) = 1651468140

Least Common Multiple (LCM) of 99540 and 99546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99540 and 99546. First we will calculate the prime factors of 99540 and 99546.

Prime Factorization of 99540

Prime Factorization of 99546

Now multiplying the highest exponent prime factors to calculate the LCM of 99540 and 99546.

LCM(99540,99546) = 2² × 3² × 5¹ × 7¹ × 79¹ × 47¹ × 353¹
LCM(99540,99546) = 1651468140