What is the Least Common Multiple of 99420 and 99432?

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 99420 and 99432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99420 and 99432, than apply into the LCM equation.

GCF(99420,99432) = 12
LCM(99420,99432) = ( 99420 × 99432) / 12
LCM(99420,99432) = 9885529440 / 12
LCM(99420,99432) = 823794120

Least Common Multiple (LCM) of 99420 and 99432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99420 and 99432. First we will calculate the prime factors of 99420 and 99432.

Prime Factorization of 99420

Prime Factorization of 99432

Now multiplying the highest exponent prime factors to calculate the LCM of 99420 and 99432.

LCM(99420,99432) = 2³ × 3² × 5¹ × 1657¹ × 1381¹
LCM(99420,99432) = 823794120