What is the Least Common Multiple of 99436 and 99450?

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 99436 and 99450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99436 and 99450, than apply into the LCM equation.

GCF(99436,99450) = 2
LCM(99436,99450) = ( 99436 × 99450) / 2
LCM(99436,99450) = 9888910200 / 2
LCM(99436,99450) = 4944455100

Least Common Multiple (LCM) of 99436 and 99450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99436 and 99450. First we will calculate the prime factors of 99436 and 99450.

Prime Factorization of 99436

Prime Factorization of 99450

Now multiplying the highest exponent prime factors to calculate the LCM of 99436 and 99450.

LCM(99436,99450) = 2² × 24859¹ × 3² × 5² × 13¹ × 17¹
LCM(99436,99450) = 4944455100