What is the Least Common Multiple of 32014 and 32033?

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 32014 and 32033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32014 and 32033, than apply into the LCM equation.

GCF(32014,32033) = 1
LCM(32014,32033) = ( 32014 × 32033) / 1
LCM(32014,32033) = 1025504462 / 1
LCM(32014,32033) = 1025504462

Least Common Multiple (LCM) of 32014 and 32033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32014 and 32033. First we will calculate the prime factors of 32014 and 32033.

Prime Factorization of 32014

Prime Factorization of 32033

Now multiplying the highest exponent prime factors to calculate the LCM of 32014 and 32033.

LCM(32014,32033) = 2¹ × 16007¹ × 103¹ × 311¹
LCM(32014,32033) = 1025504462