What is the Least Common Multiple of 49209 and 49224?

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 49209 and 49224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49209 and 49224, than apply into the LCM equation.

GCF(49209,49224) = 3
LCM(49209,49224) = ( 49209 × 49224) / 3
LCM(49209,49224) = 2422263816 / 3
LCM(49209,49224) = 807421272

Least Common Multiple (LCM) of 49209 and 49224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49209 and 49224. First we will calculate the prime factors of 49209 and 49224.

Prime Factorization of 49209

Prime Factorization of 49224

Now multiplying the highest exponent prime factors to calculate the LCM of 49209 and 49224.

LCM(49209,49224) = 3¹ × 47¹ × 349¹ × 2³ × 7¹ × 293¹
LCM(49209,49224) = 807421272