What is the Least Common Multiple of 66774 and 66783?

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 66774 and 66783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66774 and 66783, than apply into the LCM equation.

GCF(66774,66783) = 3
LCM(66774,66783) = ( 66774 × 66783) / 3
LCM(66774,66783) = 4459368042 / 3
LCM(66774,66783) = 1486456014

Least Common Multiple (LCM) of 66774 and 66783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66774 and 66783. First we will calculate the prime factors of 66774 and 66783.

Prime Factorization of 66774

Prime Factorization of 66783

Now multiplying the highest exponent prime factors to calculate the LCM of 66774 and 66783.

LCM(66774,66783) = 2¹ × 3¹ × 31¹ × 359¹ × 113¹ × 197¹
LCM(66774,66783) = 1486456014