What is the Least Common Multiple of 14638 and 14653?

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 14638 and 14653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14638 and 14653, than apply into the LCM equation.

GCF(14638,14653) = 1
LCM(14638,14653) = ( 14638 × 14653) / 1
LCM(14638,14653) = 214490614 / 1
LCM(14638,14653) = 214490614

Least Common Multiple (LCM) of 14638 and 14653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14638 and 14653. First we will calculate the prime factors of 14638 and 14653.

Prime Factorization of 14638

Prime Factorization of 14653

Now multiplying the highest exponent prime factors to calculate the LCM of 14638 and 14653.

LCM(14638,14653) = 2¹ × 13¹ × 563¹ × 14653¹
LCM(14638,14653) = 214490614