What is the Least Common Multiple of 51774 and 51783?

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 51774 and 51783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51774 and 51783, than apply into the LCM equation.

GCF(51774,51783) = 3
LCM(51774,51783) = ( 51774 × 51783) / 3
LCM(51774,51783) = 2681013042 / 3
LCM(51774,51783) = 893671014

Least Common Multiple (LCM) of 51774 and 51783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51774 and 51783. First we will calculate the prime factors of 51774 and 51783.

Prime Factorization of 51774

Prime Factorization of 51783

Now multiplying the highest exponent prime factors to calculate the LCM of 51774 and 51783.

LCM(51774,51783) = 2¹ × 3¹ × 8629¹ × 41¹ × 421¹
LCM(51774,51783) = 893671014