What is the Least Common Multiple of 49476 and 49491?

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 49476 and 49491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49476 and 49491, than apply into the LCM equation.

GCF(49476,49491) = 3
LCM(49476,49491) = ( 49476 × 49491) / 3
LCM(49476,49491) = 2448616716 / 3
LCM(49476,49491) = 816205572

Least Common Multiple (LCM) of 49476 and 49491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49476 and 49491. First we will calculate the prime factors of 49476 and 49491.

Prime Factorization of 49476

Prime Factorization of 49491

Now multiplying the highest exponent prime factors to calculate the LCM of 49476 and 49491.

LCM(49476,49491) = 2² × 3⁴ × 7¹ × 19¹ × 31¹ × 13¹ × 47¹
LCM(49476,49491) = 816205572