What is the Least Common Multiple of 99050 and 99068?

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 99050 and 99068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99050 and 99068, than apply into the LCM equation.

GCF(99050,99068) = 2
LCM(99050,99068) = ( 99050 × 99068) / 2
LCM(99050,99068) = 9812685400 / 2
LCM(99050,99068) = 4906342700

Least Common Multiple (LCM) of 99050 and 99068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99050 and 99068. First we will calculate the prime factors of 99050 and 99068.

Prime Factorization of 99050

Prime Factorization of 99068

Now multiplying the highest exponent prime factors to calculate the LCM of 99050 and 99068.

LCM(99050,99068) = 2² × 5² × 7¹ × 283¹ × 24767¹
LCM(99050,99068) = 4906342700