What is the Least Common Multiple of 66314 and 66319?

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 66319 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 66319, than apply into the LCM equation.

GCF(66314,66319) = 1
LCM(66314,66319) = ( 66314 × 66319) / 1
LCM(66314,66319) = 4397878166 / 1
LCM(66314,66319) = 4397878166

Least Common Multiple (LCM) of 66314 and 66319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66314 and 66319. First we will calculate the prime factors of 66314 and 66319.

Prime Factorization of 66314

Prime Factorization of 66319

Now multiplying the highest exponent prime factors to calculate the LCM of 66314 and 66319.

LCM(66314,66319) = 2¹ × 71¹ × 467¹ × 11¹ × 6029¹
LCM(66314,66319) = 4397878166