What is the Least Common Multiple of 40370 and 40381?

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 40370 and 40381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40370 and 40381, than apply into the LCM equation.

GCF(40370,40381) = 11
LCM(40370,40381) = ( 40370 × 40381) / 11
LCM(40370,40381) = 1630180970 / 11
LCM(40370,40381) = 148198270

Least Common Multiple (LCM) of 40370 and 40381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40370 and 40381. First we will calculate the prime factors of 40370 and 40381.

Prime Factorization of 40370

Prime Factorization of 40381

Now multiplying the highest exponent prime factors to calculate the LCM of 40370 and 40381.

LCM(40370,40381) = 2¹ × 5¹ × 11¹ × 367¹ × 3671¹
LCM(40370,40381) = 148198270