What is the Least Common Multiple of 9355 and 9370?

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 9355 and 9370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9355 and 9370, than apply into the LCM equation.

GCF(9355,9370) = 5
LCM(9355,9370) = ( 9355 × 9370) / 5
LCM(9355,9370) = 87656350 / 5
LCM(9355,9370) = 17531270

Least Common Multiple (LCM) of 9355 and 9370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9355 and 9370. First we will calculate the prime factors of 9355 and 9370.

Prime Factorization of 9355

Prime Factorization of 9370

Now multiplying the highest exponent prime factors to calculate the LCM of 9355 and 9370.

LCM(9355,9370) = 5¹ × 1871¹ × 2¹ × 937¹
LCM(9355,9370) = 17531270