What is the Least Common Multiple of 99036 and 99052?

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 99036 and 99052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99036 and 99052, than apply into the LCM equation.

GCF(99036,99052) = 4
LCM(99036,99052) = ( 99036 × 99052) / 4
LCM(99036,99052) = 9809713872 / 4
LCM(99036,99052) = 2452428468

Least Common Multiple (LCM) of 99036 and 99052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99036 and 99052. First we will calculate the prime factors of 99036 and 99052.

Prime Factorization of 99036

Prime Factorization of 99052

Now multiplying the highest exponent prime factors to calculate the LCM of 99036 and 99052.

LCM(99036,99052) = 2² × 3³ × 7¹ × 131¹ × 24763¹
LCM(99036,99052) = 2452428468