What is the Least Common Multiple of 18849 and 18869?

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 18849 and 18869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18849 and 18869, than apply into the LCM equation.

GCF(18849,18869) = 1
LCM(18849,18869) = ( 18849 × 18869) / 1
LCM(18849,18869) = 355661781 / 1
LCM(18849,18869) = 355661781

Least Common Multiple (LCM) of 18849 and 18869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18849 and 18869. First we will calculate the prime factors of 18849 and 18869.

Prime Factorization of 18849

Prime Factorization of 18869

Now multiplying the highest exponent prime factors to calculate the LCM of 18849 and 18869.

LCM(18849,18869) = 3¹ × 61¹ × 103¹ × 18869¹
LCM(18849,18869) = 355661781