What is the Least Common Multiple of 17940 and 17953?

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 17940 and 17953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17940 and 17953, than apply into the LCM equation.

GCF(17940,17953) = 13
LCM(17940,17953) = ( 17940 × 17953) / 13
LCM(17940,17953) = 322076820 / 13
LCM(17940,17953) = 24775140

Least Common Multiple (LCM) of 17940 and 17953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17940 and 17953. First we will calculate the prime factors of 17940 and 17953.

Prime Factorization of 17940

Prime Factorization of 17953

Now multiplying the highest exponent prime factors to calculate the LCM of 17940 and 17953.

LCM(17940,17953) = 2² × 3¹ × 5¹ × 13¹ × 23¹ × 1381¹
LCM(17940,17953) = 24775140