What is the Least Common Multiple of 47492 and 47507?

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 47492 and 47507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47492 and 47507, than apply into the LCM equation.

GCF(47492,47507) = 1
LCM(47492,47507) = ( 47492 × 47507) / 1
LCM(47492,47507) = 2256202444 / 1
LCM(47492,47507) = 2256202444

Least Common Multiple (LCM) of 47492 and 47507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47492 and 47507. First we will calculate the prime factors of 47492 and 47507.

Prime Factorization of 47492

Prime Factorization of 47507

Now multiplying the highest exponent prime factors to calculate the LCM of 47492 and 47507.

LCM(47492,47507) = 2² × 31¹ × 383¹ × 47507¹
LCM(47492,47507) = 2256202444