What is the Least Common Multiple of 67014 and 67032?

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 67032 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 67032, than apply into the LCM equation.

GCF(67014,67032) = 18
LCM(67014,67032) = ( 67014 × 67032) / 18
LCM(67014,67032) = 4492082448 / 18
LCM(67014,67032) = 249560136

Least Common Multiple (LCM) of 67014 and 67032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67014 and 67032. First we will calculate the prime factors of 67014 and 67032.

Prime Factorization of 67014

Prime Factorization of 67032

Now multiplying the highest exponent prime factors to calculate the LCM of 67014 and 67032.

LCM(67014,67032) = 2³ × 3³ × 17¹ × 73¹ × 7² × 19¹
LCM(67014,67032) = 249560136