What is the Least Common Multiple of 74586 and 74602?

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 74586 and 74602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74586 and 74602, than apply into the LCM equation.

GCF(74586,74602) = 2
LCM(74586,74602) = ( 74586 × 74602) / 2
LCM(74586,74602) = 5564264772 / 2
LCM(74586,74602) = 2782132386

Least Common Multiple (LCM) of 74586 and 74602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74586 and 74602. First we will calculate the prime factors of 74586 and 74602.

Prime Factorization of 74586

Prime Factorization of 74602

Now multiplying the highest exponent prime factors to calculate the LCM of 74586 and 74602.

LCM(74586,74602) = 2¹ × 3¹ × 31¹ × 401¹ × 11¹ × 3391¹
LCM(74586,74602) = 2782132386