What is the Least Common Multiple of 14646 and 14656?

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 14646 and 14656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14646 and 14656, than apply into the LCM equation.

GCF(14646,14656) = 2
LCM(14646,14656) = ( 14646 × 14656) / 2
LCM(14646,14656) = 214651776 / 2
LCM(14646,14656) = 107325888

Least Common Multiple (LCM) of 14646 and 14656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14646 and 14656. First we will calculate the prime factors of 14646 and 14656.

Prime Factorization of 14646

Prime Factorization of 14656

Now multiplying the highest exponent prime factors to calculate the LCM of 14646 and 14656.

LCM(14646,14656) = 2⁶ × 3¹ × 2441¹ × 229¹
LCM(14646,14656) = 107325888