What is the Least Common Multiple of 99036 and 99050?

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 99050 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 99050, than apply into the LCM equation.

GCF(99036,99050) = 14
LCM(99036,99050) = ( 99036 × 99050) / 14
LCM(99036,99050) = 9809515800 / 14
LCM(99036,99050) = 700679700

Least Common Multiple (LCM) of 99036 and 99050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99036 and 99050. First we will calculate the prime factors of 99036 and 99050.

Prime Factorization of 99036

Prime Factorization of 99050

Now multiplying the highest exponent prime factors to calculate the LCM of 99036 and 99050.

LCM(99036,99050) = 2² × 3³ × 7¹ × 131¹ × 5² × 283¹
LCM(99036,99050) = 700679700