What is the Least Common Multiple of 49803 and 49809?

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 49803 and 49809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49803 and 49809, than apply into the LCM equation.

GCF(49803,49809) = 3
LCM(49803,49809) = ( 49803 × 49809) / 3
LCM(49803,49809) = 2480637627 / 3
LCM(49803,49809) = 826879209

Least Common Multiple (LCM) of 49803 and 49809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49803 and 49809. First we will calculate the prime factors of 49803 and 49809.

Prime Factorization of 49803

Prime Factorization of 49809

Now multiplying the highest exponent prime factors to calculate the LCM of 49803 and 49809.

LCM(49803,49809) = 3¹ × 13¹ × 1277¹ × 16603¹
LCM(49803,49809) = 826879209