What is the Least Common Multiple of 915 and 935?

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 915 and 935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 915 and 935, than apply into the LCM equation.

GCF(915,935) = 5
LCM(915,935) = ( 915 × 935) / 5
LCM(915,935) = 855525 / 5
LCM(915,935) = 171105

Least Common Multiple (LCM) of 915 and 935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 915 and 935. First we will calculate the prime factors of 915 and 935.

Prime Factorization of 915

Prime Factorization of 935

Now multiplying the highest exponent prime factors to calculate the LCM of 915 and 935.

LCM(915,935) = 3¹ × 5¹ × 61¹ × 11¹ × 17¹
LCM(915,935) = 171105