What is the Least Common Multiple of 19408 and 19417?

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 19408 and 19417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19408 and 19417, than apply into the LCM equation.

GCF(19408,19417) = 1
LCM(19408,19417) = ( 19408 × 19417) / 1
LCM(19408,19417) = 376845136 / 1
LCM(19408,19417) = 376845136

Least Common Multiple (LCM) of 19408 and 19417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19408 and 19417. First we will calculate the prime factors of 19408 and 19417.

Prime Factorization of 19408

Prime Factorization of 19417

Now multiplying the highest exponent prime factors to calculate the LCM of 19408 and 19417.

LCM(19408,19417) = 2⁴ × 1213¹ × 19417¹
LCM(19408,19417) = 376845136