What is the Least Common Multiple of 75222 and 75237?

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 75222 and 75237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75222 and 75237, than apply into the LCM equation.

GCF(75222,75237) = 3
LCM(75222,75237) = ( 75222 × 75237) / 3
LCM(75222,75237) = 5659477614 / 3
LCM(75222,75237) = 1886492538

Least Common Multiple (LCM) of 75222 and 75237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75222 and 75237. First we will calculate the prime factors of 75222 and 75237.

Prime Factorization of 75222

Prime Factorization of 75237

Now multiplying the highest exponent prime factors to calculate the LCM of 75222 and 75237.

LCM(75222,75237) = 2¹ × 3³ × 7¹ × 199¹ × 31¹ × 809¹
LCM(75222,75237) = 1886492538