What is the Least Common Multiple of 66014 and 66033?

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 66014 and 66033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66014 and 66033, than apply into the LCM equation.

GCF(66014,66033) = 1
LCM(66014,66033) = ( 66014 × 66033) / 1
LCM(66014,66033) = 4359102462 / 1
LCM(66014,66033) = 4359102462

Least Common Multiple (LCM) of 66014 and 66033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66014 and 66033. First we will calculate the prime factors of 66014 and 66033.

Prime Factorization of 66014

Prime Factorization of 66033

Now multiplying the highest exponent prime factors to calculate the LCM of 66014 and 66033.

LCM(66014,66033) = 2¹ × 13¹ × 2539¹ × 3² × 11¹ × 23¹ × 29¹
LCM(66014,66033) = 4359102462