What is the Least Common Multiple of 40219 and 40237?

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 40219 and 40237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40219 and 40237, than apply into the LCM equation.

GCF(40219,40237) = 1
LCM(40219,40237) = ( 40219 × 40237) / 1
LCM(40219,40237) = 1618291903 / 1
LCM(40219,40237) = 1618291903

Least Common Multiple (LCM) of 40219 and 40237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40219 and 40237. First we will calculate the prime factors of 40219 and 40237.

Prime Factorization of 40219

Prime Factorization of 40237

Now multiplying the highest exponent prime factors to calculate the LCM of 40219 and 40237.

LCM(40219,40237) = 37¹ × 1087¹ × 40237¹
LCM(40219,40237) = 1618291903