What is the Least Common Multiple of 71204 and 71218?

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 71204 and 71218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71204 and 71218, than apply into the LCM equation.

GCF(71204,71218) = 14
LCM(71204,71218) = ( 71204 × 71218) / 14
LCM(71204,71218) = 5071006472 / 14
LCM(71204,71218) = 362214748

Least Common Multiple (LCM) of 71204 and 71218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71204 and 71218. First we will calculate the prime factors of 71204 and 71218.

Prime Factorization of 71204

Prime Factorization of 71218

Now multiplying the highest exponent prime factors to calculate the LCM of 71204 and 71218.

LCM(71204,71218) = 2² × 7¹ × 2543¹ × 5087¹
LCM(71204,71218) = 362214748