What is the Least Common Multiple of 97468 and 97487?

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 97468 and 97487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97468 and 97487, than apply into the LCM equation.

GCF(97468,97487) = 1
LCM(97468,97487) = ( 97468 × 97487) / 1
LCM(97468,97487) = 9501862916 / 1
LCM(97468,97487) = 9501862916

Least Common Multiple (LCM) of 97468 and 97487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97468 and 97487. First we will calculate the prime factors of 97468 and 97487.

Prime Factorization of 97468

Prime Factorization of 97487

Now multiplying the highest exponent prime factors to calculate the LCM of 97468 and 97487.

LCM(97468,97487) = 2² × 7¹ × 59² × 13¹ × 7499¹
LCM(97468,97487) = 9501862916