What is the Least Common Multiple of 49735 and 49747?

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 49735 and 49747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49735 and 49747, than apply into the LCM equation.

GCF(49735,49747) = 1
LCM(49735,49747) = ( 49735 × 49747) / 1
LCM(49735,49747) = 2474167045 / 1
LCM(49735,49747) = 2474167045

Least Common Multiple (LCM) of 49735 and 49747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49735 and 49747. First we will calculate the prime factors of 49735 and 49747.

Prime Factorization of 49735

Prime Factorization of 49747

Now multiplying the highest exponent prime factors to calculate the LCM of 49735 and 49747.

LCM(49735,49747) = 5¹ × 7³ × 29¹ × 49747¹
LCM(49735,49747) = 2474167045