What is the Least Common Multiple of 19360 and 19374?

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 19360 and 19374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19360 and 19374, than apply into the LCM equation.

GCF(19360,19374) = 2
LCM(19360,19374) = ( 19360 × 19374) / 2
LCM(19360,19374) = 375080640 / 2
LCM(19360,19374) = 187540320

Least Common Multiple (LCM) of 19360 and 19374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19360 and 19374. First we will calculate the prime factors of 19360 and 19374.

Prime Factorization of 19360

Prime Factorization of 19374

Now multiplying the highest exponent prime factors to calculate the LCM of 19360 and 19374.

LCM(19360,19374) = 2⁵ × 5¹ × 11² × 3¹ × 3229¹
LCM(19360,19374) = 187540320