What is the Least Common Multiple of 18102 and 18109?

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 18102 and 18109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18102 and 18109, than apply into the LCM equation.

GCF(18102,18109) = 7
LCM(18102,18109) = ( 18102 × 18109) / 7
LCM(18102,18109) = 327809118 / 7
LCM(18102,18109) = 46829874

Least Common Multiple (LCM) of 18102 and 18109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18102 and 18109. First we will calculate the prime factors of 18102 and 18109.

Prime Factorization of 18102

Prime Factorization of 18109

Now multiplying the highest exponent prime factors to calculate the LCM of 18102 and 18109.

LCM(18102,18109) = 2¹ × 3¹ × 7¹ × 431¹ × 13¹ × 199¹
LCM(18102,18109) = 46829874