What is the Least Common Multiple of 74541 and 74559?

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 74541 and 74559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74541 and 74559, than apply into the LCM equation.

GCF(74541,74559) = 3
LCM(74541,74559) = ( 74541 × 74559) / 3
LCM(74541,74559) = 5557702419 / 3
LCM(74541,74559) = 1852567473

Least Common Multiple (LCM) of 74541 and 74559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74541 and 74559. First we will calculate the prime factors of 74541 and 74559.

Prime Factorization of 74541

Prime Factorization of 74559

Now multiplying the highest exponent prime factors to calculate the LCM of 74541 and 74559.

LCM(74541,74559) = 3¹ × 24847¹ × 29¹ × 857¹
LCM(74541,74559) = 1852567473