What is the Least Common Multiple of 66314 and 66334?

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 66314 and 66334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66314 and 66334, than apply into the LCM equation.

GCF(66314,66334) = 2
LCM(66314,66334) = ( 66314 × 66334) / 2
LCM(66314,66334) = 4398872876 / 2
LCM(66314,66334) = 2199436438

Least Common Multiple (LCM) of 66314 and 66334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66314 and 66334. First we will calculate the prime factors of 66314 and 66334.

Prime Factorization of 66314

Prime Factorization of 66334

Now multiplying the highest exponent prime factors to calculate the LCM of 66314 and 66334.

LCM(66314,66334) = 2¹ × 71¹ × 467¹ × 17¹ × 1951¹
LCM(66314,66334) = 2199436438