What is the Least Common Multiple of 14736 and 14745?

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 14736 and 14745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14736 and 14745, than apply into the LCM equation.

GCF(14736,14745) = 3
LCM(14736,14745) = ( 14736 × 14745) / 3
LCM(14736,14745) = 217282320 / 3
LCM(14736,14745) = 72427440

Least Common Multiple (LCM) of 14736 and 14745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14736 and 14745. First we will calculate the prime factors of 14736 and 14745.

Prime Factorization of 14736

Prime Factorization of 14745

Now multiplying the highest exponent prime factors to calculate the LCM of 14736 and 14745.

LCM(14736,14745) = 2⁴ × 3¹ × 307¹ × 5¹ × 983¹
LCM(14736,14745) = 72427440