What is the Least Common Multiple of 99414 and 99420?

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 99414 and 99420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99414 and 99420, than apply into the LCM equation.

GCF(99414,99420) = 6
LCM(99414,99420) = ( 99414 × 99420) / 6
LCM(99414,99420) = 9883739880 / 6
LCM(99414,99420) = 1647289980

Least Common Multiple (LCM) of 99414 and 99420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99414 and 99420. First we will calculate the prime factors of 99414 and 99420.

Prime Factorization of 99414

Prime Factorization of 99420

Now multiplying the highest exponent prime factors to calculate the LCM of 99414 and 99420.

LCM(99414,99420) = 2² × 3³ × 7¹ × 263¹ × 5¹ × 1657¹
LCM(99414,99420) = 1647289980