What is the Least Common Multiple of 14640 and 14657?

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 14640 and 14657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14640 and 14657, than apply into the LCM equation.

GCF(14640,14657) = 1
LCM(14640,14657) = ( 14640 × 14657) / 1
LCM(14640,14657) = 214578480 / 1
LCM(14640,14657) = 214578480

Least Common Multiple (LCM) of 14640 and 14657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14640 and 14657. First we will calculate the prime factors of 14640 and 14657.

Prime Factorization of 14640

Prime Factorization of 14657

Now multiplying the highest exponent prime factors to calculate the LCM of 14640 and 14657.

LCM(14640,14657) = 2⁴ × 3¹ × 5¹ × 61¹ × 14657¹
LCM(14640,14657) = 214578480