What is the Least Common Multiple of 74492 and 74507?

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 74492 and 74507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74492 and 74507, than apply into the LCM equation.

GCF(74492,74507) = 1
LCM(74492,74507) = ( 74492 × 74507) / 1
LCM(74492,74507) = 5550175444 / 1
LCM(74492,74507) = 5550175444

Least Common Multiple (LCM) of 74492 and 74507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74492 and 74507. First we will calculate the prime factors of 74492 and 74507.

Prime Factorization of 74492

Prime Factorization of 74507

Now multiplying the highest exponent prime factors to calculate the LCM of 74492 and 74507.

LCM(74492,74507) = 2² × 11¹ × 1693¹ × 74507¹
LCM(74492,74507) = 5550175444