What is the Least Common Multiple of 74566 and 74586?

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 74566 and 74586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74566 and 74586, than apply into the LCM equation.

GCF(74566,74586) = 2
LCM(74566,74586) = ( 74566 × 74586) / 2
LCM(74566,74586) = 5561579676 / 2
LCM(74566,74586) = 2780789838

Least Common Multiple (LCM) of 74566 and 74586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74566 and 74586. First we will calculate the prime factors of 74566 and 74586.

Prime Factorization of 74566

Prime Factorization of 74586

Now multiplying the highest exponent prime factors to calculate the LCM of 74566 and 74586.

LCM(74566,74586) = 2¹ × 23¹ × 1621¹ × 3¹ × 31¹ × 401¹
LCM(74566,74586) = 2780789838