What is the Least Common Multiple of 40260 and 40266?

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 40260 and 40266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40260 and 40266, than apply into the LCM equation.

GCF(40260,40266) = 6
LCM(40260,40266) = ( 40260 × 40266) / 6
LCM(40260,40266) = 1621109160 / 6
LCM(40260,40266) = 270184860

Least Common Multiple (LCM) of 40260 and 40266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40260 and 40266. First we will calculate the prime factors of 40260 and 40266.

Prime Factorization of 40260

Prime Factorization of 40266

Now multiplying the highest exponent prime factors to calculate the LCM of 40260 and 40266.

LCM(40260,40266) = 2² × 3² × 5¹ × 11¹ × 61¹ × 2237¹
LCM(40260,40266) = 270184860