What is the Least Common Multiple of 97149 and 97169?

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 97149 and 97169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97149 and 97169, than apply into the LCM equation.

GCF(97149,97169) = 1
LCM(97149,97169) = ( 97149 × 97169) / 1
LCM(97149,97169) = 9439871181 / 1
LCM(97149,97169) = 9439871181

Least Common Multiple (LCM) of 97149 and 97169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97149 and 97169. First we will calculate the prime factors of 97149 and 97169.

Prime Factorization of 97149

Prime Factorization of 97169

Now multiplying the highest exponent prime factors to calculate the LCM of 97149 and 97169.

LCM(97149,97169) = 3¹ × 13¹ × 47¹ × 53¹ × 97169¹
LCM(97149,97169) = 9439871181