What is the Least Common Multiple of 97109 and 97128?

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 97109 and 97128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97109 and 97128, than apply into the LCM equation.

GCF(97109,97128) = 19
LCM(97109,97128) = ( 97109 × 97128) / 19
LCM(97109,97128) = 9432002952 / 19
LCM(97109,97128) = 496421208

Least Common Multiple (LCM) of 97109 and 97128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97109 and 97128. First we will calculate the prime factors of 97109 and 97128.

Prime Factorization of 97109

Prime Factorization of 97128

Now multiplying the highest exponent prime factors to calculate the LCM of 97109 and 97128.

LCM(97109,97128) = 19² × 269¹ × 2³ × 3² × 71¹
LCM(97109,97128) = 496421208