What is the Least Common Multiple of 97135 and 97155?

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 97135 and 97155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97135 and 97155, than apply into the LCM equation.

GCF(97135,97155) = 5
LCM(97135,97155) = ( 97135 × 97155) / 5
LCM(97135,97155) = 9437150925 / 5
LCM(97135,97155) = 1887430185

Least Common Multiple (LCM) of 97135 and 97155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97135 and 97155. First we will calculate the prime factors of 97135 and 97155.

Prime Factorization of 97135

Prime Factorization of 97155

Now multiplying the highest exponent prime factors to calculate the LCM of 97135 and 97155.

LCM(97135,97155) = 5¹ × 19427¹ × 3² × 17¹ × 127¹
LCM(97135,97155) = 1887430185