What is the Least Common Multiple of 97587 and 97607?

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 97587 and 97607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97587 and 97607, than apply into the LCM equation.

GCF(97587,97607) = 1
LCM(97587,97607) = ( 97587 × 97607) / 1
LCM(97587,97607) = 9525174309 / 1
LCM(97587,97607) = 9525174309

Least Common Multiple (LCM) of 97587 and 97607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97587 and 97607. First we will calculate the prime factors of 97587 and 97607.

Prime Factorization of 97587

Prime Factorization of 97607

Now multiplying the highest exponent prime factors to calculate the LCM of 97587 and 97607.

LCM(97587,97607) = 3² × 7¹ × 1549¹ × 97607¹
LCM(97587,97607) = 9525174309