What is the Least Common Multiple of 18030 and 18049?

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 18030 and 18049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18030 and 18049, than apply into the LCM equation.

GCF(18030,18049) = 1
LCM(18030,18049) = ( 18030 × 18049) / 1
LCM(18030,18049) = 325423470 / 1
LCM(18030,18049) = 325423470

Least Common Multiple (LCM) of 18030 and 18049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18030 and 18049. First we will calculate the prime factors of 18030 and 18049.

Prime Factorization of 18030

Prime Factorization of 18049

Now multiplying the highest exponent prime factors to calculate the LCM of 18030 and 18049.

LCM(18030,18049) = 2¹ × 3¹ × 5¹ × 601¹ × 18049¹
LCM(18030,18049) = 325423470