What is the Least Common Multiple of 12138 and 12155?

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 12138 and 12155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12138 and 12155, than apply into the LCM equation.

GCF(12138,12155) = 17
LCM(12138,12155) = ( 12138 × 12155) / 17
LCM(12138,12155) = 147537390 / 17
LCM(12138,12155) = 8678670

Least Common Multiple (LCM) of 12138 and 12155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12138 and 12155. First we will calculate the prime factors of 12138 and 12155.

Prime Factorization of 12138

Prime Factorization of 12155

Now multiplying the highest exponent prime factors to calculate the LCM of 12138 and 12155.

LCM(12138,12155) = 2¹ × 3¹ × 7¹ × 17² × 5¹ × 11¹ × 13¹
LCM(12138,12155) = 8678670