What is the Least Common Multiple of 40138 and 40145?

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 40138 and 40145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40138 and 40145, than apply into the LCM equation.

GCF(40138,40145) = 7
LCM(40138,40145) = ( 40138 × 40145) / 7
LCM(40138,40145) = 1611340010 / 7
LCM(40138,40145) = 230191430

Least Common Multiple (LCM) of 40138 and 40145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40138 and 40145. First we will calculate the prime factors of 40138 and 40145.

Prime Factorization of 40138

Prime Factorization of 40145

Now multiplying the highest exponent prime factors to calculate the LCM of 40138 and 40145.

LCM(40138,40145) = 2¹ × 7¹ × 47¹ × 61¹ × 5¹ × 31¹ × 37¹
LCM(40138,40145) = 230191430