What is the Least Common Multiple of 39774 and 39789?

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 39774 and 39789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39774 and 39789, than apply into the LCM equation.

GCF(39774,39789) = 3
LCM(39774,39789) = ( 39774 × 39789) / 3
LCM(39774,39789) = 1582567686 / 3
LCM(39774,39789) = 527522562

Least Common Multiple (LCM) of 39774 and 39789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39774 and 39789. First we will calculate the prime factors of 39774 and 39789.

Prime Factorization of 39774

Prime Factorization of 39789

Now multiplying the highest exponent prime factors to calculate the LCM of 39774 and 39789.

LCM(39774,39789) = 2¹ × 3² × 7¹ × 947¹ × 4421¹
LCM(39774,39789) = 527522562