What is the Least Common Multiple of 74553 and 74568?

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 74553 and 74568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74553 and 74568, than apply into the LCM equation.

GCF(74553,74568) = 3
LCM(74553,74568) = ( 74553 × 74568) / 3
LCM(74553,74568) = 5559268104 / 3
LCM(74553,74568) = 1853089368

Least Common Multiple (LCM) of 74553 and 74568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74553 and 74568. First we will calculate the prime factors of 74553 and 74568.

Prime Factorization of 74553

Prime Factorization of 74568

Now multiplying the highest exponent prime factors to calculate the LCM of 74553 and 74568.

LCM(74553,74568) = 3¹ × 24851¹ × 2³ × 13¹ × 239¹
LCM(74553,74568) = 1853089368