What is the Least Common Multiple of 4218 and 4237?

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 4218 and 4237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4218 and 4237, than apply into the LCM equation.

GCF(4218,4237) = 19
LCM(4218,4237) = ( 4218 × 4237) / 19
LCM(4218,4237) = 17871666 / 19
LCM(4218,4237) = 940614

Least Common Multiple (LCM) of 4218 and 4237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4218 and 4237. First we will calculate the prime factors of 4218 and 4237.

Prime Factorization of 4218

Prime Factorization of 4237

Now multiplying the highest exponent prime factors to calculate the LCM of 4218 and 4237.

LCM(4218,4237) = 2¹ × 3¹ × 19¹ × 37¹ × 223¹
LCM(4218,4237) = 940614