What is the Least Common Multiple of 49485 and 49503?

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 49485 and 49503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49485 and 49503, than apply into the LCM equation.

GCF(49485,49503) = 3
LCM(49485,49503) = ( 49485 × 49503) / 3
LCM(49485,49503) = 2449655955 / 3
LCM(49485,49503) = 816551985

Least Common Multiple (LCM) of 49485 and 49503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49485 and 49503. First we will calculate the prime factors of 49485 and 49503.

Prime Factorization of 49485

Prime Factorization of 49503

Now multiplying the highest exponent prime factors to calculate the LCM of 49485 and 49503.

LCM(49485,49503) = 3¹ × 5¹ × 3299¹ × 29¹ × 569¹
LCM(49485,49503) = 816551985