What is the Least Common Multiple of 99420 and 99438?

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 99438 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 99438, than apply into the LCM equation.

GCF(99420,99438) = 6
LCM(99420,99438) = ( 99420 × 99438) / 6
LCM(99420,99438) = 9886125960 / 6
LCM(99420,99438) = 1647687660

Least Common Multiple (LCM) of 99420 and 99438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99420 and 99438. First we will calculate the prime factors of 99420 and 99438.

Prime Factorization of 99420

Prime Factorization of 99438

Now multiplying the highest exponent prime factors to calculate the LCM of 99420 and 99438.

LCM(99420,99438) = 2² × 3¹ × 5¹ × 1657¹ × 16573¹
LCM(99420,99438) = 1647687660