What is the Least Common Multiple of 19409 and 19424?

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 19409 and 19424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19409 and 19424, than apply into the LCM equation.

GCF(19409,19424) = 1
LCM(19409,19424) = ( 19409 × 19424) / 1
LCM(19409,19424) = 377000416 / 1
LCM(19409,19424) = 377000416

Least Common Multiple (LCM) of 19409 and 19424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19409 and 19424. First we will calculate the prime factors of 19409 and 19424.

Prime Factorization of 19409

Prime Factorization of 19424

Now multiplying the highest exponent prime factors to calculate the LCM of 19409 and 19424.

LCM(19409,19424) = 13¹ × 1493¹ × 2⁵ × 607¹
LCM(19409,19424) = 377000416