What is the Least Common Multiple of 14214 and 14224?

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 14214 and 14224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14214 and 14224, than apply into the LCM equation.

GCF(14214,14224) = 2
LCM(14214,14224) = ( 14214 × 14224) / 2
LCM(14214,14224) = 202179936 / 2
LCM(14214,14224) = 101089968

Least Common Multiple (LCM) of 14214 and 14224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14214 and 14224. First we will calculate the prime factors of 14214 and 14224.

Prime Factorization of 14214

Prime Factorization of 14224

Now multiplying the highest exponent prime factors to calculate the LCM of 14214 and 14224.

LCM(14214,14224) = 2⁴ × 3¹ × 23¹ × 103¹ × 7¹ × 127¹
LCM(14214,14224) = 101089968