What is the Least Common Multiple of 18629 and 18643?

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 18629 and 18643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18629 and 18643, than apply into the LCM equation.

GCF(18629,18643) = 1
LCM(18629,18643) = ( 18629 × 18643) / 1
LCM(18629,18643) = 347300447 / 1
LCM(18629,18643) = 347300447

Least Common Multiple (LCM) of 18629 and 18643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18629 and 18643. First we will calculate the prime factors of 18629 and 18643.

Prime Factorization of 18629

Prime Factorization of 18643

Now multiplying the highest exponent prime factors to calculate the LCM of 18629 and 18643.

LCM(18629,18643) = 13¹ × 1433¹ × 103¹ × 181¹
LCM(18629,18643) = 347300447