What is the Least Common Multiple of 40238 and 40251?

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 40238 and 40251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40238 and 40251, than apply into the LCM equation.

GCF(40238,40251) = 1
LCM(40238,40251) = ( 40238 × 40251) / 1
LCM(40238,40251) = 1619619738 / 1
LCM(40238,40251) = 1619619738

Least Common Multiple (LCM) of 40238 and 40251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40238 and 40251. First we will calculate the prime factors of 40238 and 40251.

Prime Factorization of 40238

Prime Factorization of 40251

Now multiplying the highest exponent prime factors to calculate the LCM of 40238 and 40251.

LCM(40238,40251) = 2¹ × 11¹ × 31¹ × 59¹ × 3¹ × 13417¹
LCM(40238,40251) = 1619619738