What is the Least Common Multiple of 54774 and 54783?

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 54774 and 54783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54774 and 54783, than apply into the LCM equation.

GCF(54774,54783) = 9
LCM(54774,54783) = ( 54774 × 54783) / 9
LCM(54774,54783) = 3000684042 / 9
LCM(54774,54783) = 333409338

Least Common Multiple (LCM) of 54774 and 54783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54774 and 54783. First we will calculate the prime factors of 54774 and 54783.

Prime Factorization of 54774

Prime Factorization of 54783

Now multiplying the highest exponent prime factors to calculate the LCM of 54774 and 54783.

LCM(54774,54783) = 2¹ × 3³ × 17¹ × 179¹ × 2029¹
LCM(54774,54783) = 333409338