What is the Least Common Multiple of 34180 and 34197?

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 34180 and 34197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34180 and 34197, than apply into the LCM equation.

GCF(34180,34197) = 1
LCM(34180,34197) = ( 34180 × 34197) / 1
LCM(34180,34197) = 1168853460 / 1
LCM(34180,34197) = 1168853460

Least Common Multiple (LCM) of 34180 and 34197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34180 and 34197. First we will calculate the prime factors of 34180 and 34197.

Prime Factorization of 34180

Prime Factorization of 34197

Now multiplying the highest exponent prime factors to calculate the LCM of 34180 and 34197.

LCM(34180,34197) = 2² × 5¹ × 1709¹ × 3¹ × 11399¹
LCM(34180,34197) = 1168853460