What is the Least Common Multiple of 67014 and 67033?

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 67014 and 67033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67014 and 67033, than apply into the LCM equation.

GCF(67014,67033) = 1
LCM(67014,67033) = ( 67014 × 67033) / 1
LCM(67014,67033) = 4492149462 / 1
LCM(67014,67033) = 4492149462

Least Common Multiple (LCM) of 67014 and 67033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67014 and 67033. First we will calculate the prime factors of 67014 and 67033.

Prime Factorization of 67014

Prime Factorization of 67033

Now multiplying the highest exponent prime factors to calculate the LCM of 67014 and 67033.

LCM(67014,67033) = 2¹ × 3³ × 17¹ × 73¹ × 67033¹
LCM(67014,67033) = 4492149462