What is the Least Common Multiple of 97131 and 97151?

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 97131 and 97151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97131 and 97151, than apply into the LCM equation.

GCF(97131,97151) = 1
LCM(97131,97151) = ( 97131 × 97151) / 1
LCM(97131,97151) = 9436373781 / 1
LCM(97131,97151) = 9436373781

Least Common Multiple (LCM) of 97131 and 97151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97131 and 97151. First we will calculate the prime factors of 97131 and 97151.

Prime Factorization of 97131

Prime Factorization of 97151

Now multiplying the highest exponent prime factors to calculate the LCM of 97131 and 97151.

LCM(97131,97151) = 3¹ × 32377¹ × 97151¹
LCM(97131,97151) = 9436373781