What is the Least Common Multiple of 7014 and 7032?

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 7014 and 7032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7014 and 7032, than apply into the LCM equation.

GCF(7014,7032) = 6
LCM(7014,7032) = ( 7014 × 7032) / 6
LCM(7014,7032) = 49322448 / 6
LCM(7014,7032) = 8220408

Least Common Multiple (LCM) of 7014 and 7032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7014 and 7032. First we will calculate the prime factors of 7014 and 7032.

Prime Factorization of 7014

Prime Factorization of 7032

Now multiplying the highest exponent prime factors to calculate the LCM of 7014 and 7032.

LCM(7014,7032) = 2³ × 3¹ × 7¹ × 167¹ × 293¹
LCM(7014,7032) = 8220408