What is the Least Common Multiple of 17955 and 17974?

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 17955 and 17974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17955 and 17974, than apply into the LCM equation.

GCF(17955,17974) = 19
LCM(17955,17974) = ( 17955 × 17974) / 19
LCM(17955,17974) = 322723170 / 19
LCM(17955,17974) = 16985430

Least Common Multiple (LCM) of 17955 and 17974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17955 and 17974. First we will calculate the prime factors of 17955 and 17974.

Prime Factorization of 17955

Prime Factorization of 17974

Now multiplying the highest exponent prime factors to calculate the LCM of 17955 and 17974.

LCM(17955,17974) = 3³ × 5¹ × 7¹ × 19¹ × 2¹ × 11¹ × 43¹
LCM(17955,17974) = 16985430