What is the Least Common Multiple of 40105 and 40118?

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 40105 and 40118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40105 and 40118, than apply into the LCM equation.

GCF(40105,40118) = 13
LCM(40105,40118) = ( 40105 × 40118) / 13
LCM(40105,40118) = 1608932390 / 13
LCM(40105,40118) = 123764030

Least Common Multiple (LCM) of 40105 and 40118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40105 and 40118. First we will calculate the prime factors of 40105 and 40118.

Prime Factorization of 40105

Prime Factorization of 40118

Now multiplying the highest exponent prime factors to calculate the LCM of 40105 and 40118.

LCM(40105,40118) = 5¹ × 13¹ × 617¹ × 2¹ × 1543¹
LCM(40105,40118) = 123764030