What is the Least Common Multiple of 49788 and 49806?

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 49788 and 49806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49788 and 49806, than apply into the LCM equation.

GCF(49788,49806) = 18
LCM(49788,49806) = ( 49788 × 49806) / 18
LCM(49788,49806) = 2479741128 / 18
LCM(49788,49806) = 137763396

Least Common Multiple (LCM) of 49788 and 49806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49788 and 49806. First we will calculate the prime factors of 49788 and 49806.

Prime Factorization of 49788

Prime Factorization of 49806

Now multiplying the highest exponent prime factors to calculate the LCM of 49788 and 49806.

LCM(49788,49806) = 2² × 3³ × 461¹ × 2767¹
LCM(49788,49806) = 137763396