What is the Least Common Multiple of 19374 and 19392?

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 19374 and 19392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19374 and 19392, than apply into the LCM equation.

GCF(19374,19392) = 6
LCM(19374,19392) = ( 19374 × 19392) / 6
LCM(19374,19392) = 375700608 / 6
LCM(19374,19392) = 62616768

Least Common Multiple (LCM) of 19374 and 19392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19374 and 19392. First we will calculate the prime factors of 19374 and 19392.

Prime Factorization of 19374

Prime Factorization of 19392

Now multiplying the highest exponent prime factors to calculate the LCM of 19374 and 19392.

LCM(19374,19392) = 2⁶ × 3¹ × 3229¹ × 101¹
LCM(19374,19392) = 62616768