What is the Least Common Multiple of 19264 and 19279?

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 19264 and 19279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19264 and 19279, than apply into the LCM equation.

GCF(19264,19279) = 1
LCM(19264,19279) = ( 19264 × 19279) / 1
LCM(19264,19279) = 371390656 / 1
LCM(19264,19279) = 371390656

Least Common Multiple (LCM) of 19264 and 19279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19264 and 19279. First we will calculate the prime factors of 19264 and 19279.

Prime Factorization of 19264

Prime Factorization of 19279

Now multiplying the highest exponent prime factors to calculate the LCM of 19264 and 19279.

LCM(19264,19279) = 2⁶ × 7¹ × 43¹ × 13¹ × 1483¹
LCM(19264,19279) = 371390656