What is the Least Common Multiple of 74436 and 74453?

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 74436 and 74453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74436 and 74453, than apply into the LCM equation.

GCF(74436,74453) = 1
LCM(74436,74453) = ( 74436 × 74453) / 1
LCM(74436,74453) = 5541983508 / 1
LCM(74436,74453) = 5541983508

Least Common Multiple (LCM) of 74436 and 74453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74436 and 74453. First we will calculate the prime factors of 74436 and 74453.

Prime Factorization of 74436

Prime Factorization of 74453

Now multiplying the highest exponent prime factors to calculate the LCM of 74436 and 74453.

LCM(74436,74453) = 2² × 3¹ × 6203¹ × 74453¹
LCM(74436,74453) = 5541983508