What is the Least Common Multiple of 49269 and 49275?

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 49269 and 49275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49269 and 49275, than apply into the LCM equation.

GCF(49269,49275) = 3
LCM(49269,49275) = ( 49269 × 49275) / 3
LCM(49269,49275) = 2427729975 / 3
LCM(49269,49275) = 809243325

Least Common Multiple (LCM) of 49269 and 49275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49269 and 49275. First we will calculate the prime factors of 49269 and 49275.

Prime Factorization of 49269

Prime Factorization of 49275

Now multiplying the highest exponent prime factors to calculate the LCM of 49269 and 49275.

LCM(49269,49275) = 3³ × 11¹ × 1493¹ × 5² × 73¹
LCM(49269,49275) = 809243325