What is the Least Common Multiple of 3220 and 3234?

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 3220 and 3234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3220 and 3234, than apply into the LCM equation.

GCF(3220,3234) = 14
LCM(3220,3234) = ( 3220 × 3234) / 14
LCM(3220,3234) = 10413480 / 14
LCM(3220,3234) = 743820

Least Common Multiple (LCM) of 3220 and 3234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3220 and 3234. First we will calculate the prime factors of 3220 and 3234.

Prime Factorization of 3220

Prime Factorization of 3234

Now multiplying the highest exponent prime factors to calculate the LCM of 3220 and 3234.

LCM(3220,3234) = 2² × 5¹ × 7² × 23¹ × 3¹ × 11¹
LCM(3220,3234) = 743820