What is the Least Common Multiple of 74549 and 74567?

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 74549 and 74567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74549 and 74567, than apply into the LCM equation.

GCF(74549,74567) = 1
LCM(74549,74567) = ( 74549 × 74567) / 1
LCM(74549,74567) = 5558895283 / 1
LCM(74549,74567) = 5558895283

Least Common Multiple (LCM) of 74549 and 74567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74549 and 74567. First we will calculate the prime factors of 74549 and 74567.

Prime Factorization of 74549

Prime Factorization of 74567

Now multiplying the highest exponent prime factors to calculate the LCM of 74549 and 74567.

LCM(74549,74567) = 127¹ × 587¹ × 74567¹
LCM(74549,74567) = 5558895283