What is the Least Common Multiple of 14614 and 14630?

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 14614 and 14630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14614 and 14630, than apply into the LCM equation.

GCF(14614,14630) = 2
LCM(14614,14630) = ( 14614 × 14630) / 2
LCM(14614,14630) = 213802820 / 2
LCM(14614,14630) = 106901410

Least Common Multiple (LCM) of 14614 and 14630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14614 and 14630. First we will calculate the prime factors of 14614 and 14630.

Prime Factorization of 14614

Prime Factorization of 14630

Now multiplying the highest exponent prime factors to calculate the LCM of 14614 and 14630.

LCM(14614,14630) = 2¹ × 7307¹ × 5¹ × 7¹ × 11¹ × 19¹
LCM(14614,14630) = 106901410