What is the Least Common Multiple of 14234 and 14240?

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 14234 and 14240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14234 and 14240, than apply into the LCM equation.

GCF(14234,14240) = 2
LCM(14234,14240) = ( 14234 × 14240) / 2
LCM(14234,14240) = 202692160 / 2
LCM(14234,14240) = 101346080

Least Common Multiple (LCM) of 14234 and 14240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14234 and 14240. First we will calculate the prime factors of 14234 and 14240.

Prime Factorization of 14234

Prime Factorization of 14240

Now multiplying the highest exponent prime factors to calculate the LCM of 14234 and 14240.

LCM(14234,14240) = 2⁵ × 11¹ × 647¹ × 5¹ × 89¹
LCM(14234,14240) = 101346080