What is the Least Common Multiple of 99149 and 99153?

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 99149 and 99153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99149 and 99153, than apply into the LCM equation.

GCF(99149,99153) = 1
LCM(99149,99153) = ( 99149 × 99153) / 1
LCM(99149,99153) = 9830920797 / 1
LCM(99149,99153) = 9830920797

Least Common Multiple (LCM) of 99149 and 99153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99149 and 99153. First we will calculate the prime factors of 99149 and 99153.

Prime Factorization of 99149

Prime Factorization of 99153

Now multiplying the highest exponent prime factors to calculate the LCM of 99149 and 99153.

LCM(99149,99153) = 99149¹ × 3² × 23¹ × 479¹
LCM(99149,99153) = 9830920797