What is the Least Common Multiple of 19041 and 19059?

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 19041 and 19059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19041 and 19059, than apply into the LCM equation.

GCF(19041,19059) = 3
LCM(19041,19059) = ( 19041 × 19059) / 3
LCM(19041,19059) = 362902419 / 3
LCM(19041,19059) = 120967473

Least Common Multiple (LCM) of 19041 and 19059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19041 and 19059. First we will calculate the prime factors of 19041 and 19059.

Prime Factorization of 19041

Prime Factorization of 19059

Now multiplying the highest exponent prime factors to calculate the LCM of 19041 and 19059.

LCM(19041,19059) = 3¹ × 11¹ × 577¹ × 6353¹
LCM(19041,19059) = 120967473