What is the Least Common Multiple of 74909 and 74926?

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 74909 and 74926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74909 and 74926, than apply into the LCM equation.

GCF(74909,74926) = 1
LCM(74909,74926) = ( 74909 × 74926) / 1
LCM(74909,74926) = 5612631734 / 1
LCM(74909,74926) = 5612631734

Least Common Multiple (LCM) of 74909 and 74926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74909 and 74926. First we will calculate the prime factors of 74909 and 74926.

Prime Factorization of 74909

Prime Factorization of 74926

Now multiplying the highest exponent prime factors to calculate the LCM of 74909 and 74926.

LCM(74909,74926) = 173¹ × 433¹ × 2¹ × 37463¹
LCM(74909,74926) = 5612631734