What is the Least Common Multiple of 97172 and 97176?

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 97172 and 97176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97172 and 97176, than apply into the LCM equation.

GCF(97172,97176) = 4
LCM(97172,97176) = ( 97172 × 97176) / 4
LCM(97172,97176) = 9442786272 / 4
LCM(97172,97176) = 2360696568

Least Common Multiple (LCM) of 97172 and 97176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97172 and 97176. First we will calculate the prime factors of 97172 and 97176.

Prime Factorization of 97172

Prime Factorization of 97176

Now multiplying the highest exponent prime factors to calculate the LCM of 97172 and 97176.

LCM(97172,97176) = 2³ × 17¹ × 1429¹ × 3¹ × 4049¹
LCM(97172,97176) = 2360696568