What is the Least Common Multiple of 18102 and 18119?

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 18119 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 18119, than apply into the LCM equation.

GCF(18102,18119) = 1
LCM(18102,18119) = ( 18102 × 18119) / 1
LCM(18102,18119) = 327990138 / 1
LCM(18102,18119) = 327990138

Least Common Multiple (LCM) of 18102 and 18119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18102 and 18119. First we will calculate the prime factors of 18102 and 18119.

Prime Factorization of 18102

Prime Factorization of 18119

Now multiplying the highest exponent prime factors to calculate the LCM of 18102 and 18119.

LCM(18102,18119) = 2¹ × 3¹ × 7¹ × 431¹ × 18119¹
LCM(18102,18119) = 327990138