What is the Least Common Multiple of 14762 and 14773?

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 14762 and 14773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14762 and 14773, than apply into the LCM equation.

GCF(14762,14773) = 11
LCM(14762,14773) = ( 14762 × 14773) / 11
LCM(14762,14773) = 218079026 / 11
LCM(14762,14773) = 19825366

Least Common Multiple (LCM) of 14762 and 14773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14762 and 14773. First we will calculate the prime factors of 14762 and 14773.

Prime Factorization of 14762

Prime Factorization of 14773

Now multiplying the highest exponent prime factors to calculate the LCM of 14762 and 14773.

LCM(14762,14773) = 2¹ × 11² × 61¹ × 17¹ × 79¹
LCM(14762,14773) = 19825366