What is the Least Common Multiple of 40214 and 40234?

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 40214 and 40234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40214 and 40234, than apply into the LCM equation.

GCF(40214,40234) = 2
LCM(40214,40234) = ( 40214 × 40234) / 2
LCM(40214,40234) = 1617970076 / 2
LCM(40214,40234) = 808985038

Least Common Multiple (LCM) of 40214 and 40234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40214 and 40234. First we will calculate the prime factors of 40214 and 40234.

Prime Factorization of 40214

Prime Factorization of 40234

Now multiplying the highest exponent prime factors to calculate the LCM of 40214 and 40234.

LCM(40214,40234) = 2¹ × 20107¹ × 20117¹
LCM(40214,40234) = 808985038