What is the Least Common Multiple of 49488 and 49507?

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 49488 and 49507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49488 and 49507, than apply into the LCM equation.

GCF(49488,49507) = 1
LCM(49488,49507) = ( 49488 × 49507) / 1
LCM(49488,49507) = 2450002416 / 1
LCM(49488,49507) = 2450002416

Least Common Multiple (LCM) of 49488 and 49507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49488 and 49507. First we will calculate the prime factors of 49488 and 49507.

Prime Factorization of 49488

Prime Factorization of 49507

Now multiplying the highest exponent prime factors to calculate the LCM of 49488 and 49507.

LCM(49488,49507) = 2⁴ × 3¹ × 1031¹ × 31¹ × 1597¹
LCM(49488,49507) = 2450002416