What is the Least Common Multiple of 49523 and 49540?

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 49523 and 49540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49523 and 49540, than apply into the LCM equation.

GCF(49523,49540) = 1
LCM(49523,49540) = ( 49523 × 49540) / 1
LCM(49523,49540) = 2453369420 / 1
LCM(49523,49540) = 2453369420

Least Common Multiple (LCM) of 49523 and 49540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49523 and 49540. First we will calculate the prime factors of 49523 and 49540.

Prime Factorization of 49523

Prime Factorization of 49540

Now multiplying the highest exponent prime factors to calculate the LCM of 49523 and 49540.

LCM(49523,49540) = 49523¹ × 2² × 5¹ × 2477¹
LCM(49523,49540) = 2453369420