What is the Least Common Multiple of 39465 and 39471?

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 39465 and 39471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39465 and 39471, than apply into the LCM equation.

GCF(39465,39471) = 3
LCM(39465,39471) = ( 39465 × 39471) / 3
LCM(39465,39471) = 1557723015 / 3
LCM(39465,39471) = 519241005

Least Common Multiple (LCM) of 39465 and 39471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39465 and 39471. First we will calculate the prime factors of 39465 and 39471.

Prime Factorization of 39465

Prime Factorization of 39471

Now multiplying the highest exponent prime factors to calculate the LCM of 39465 and 39471.

LCM(39465,39471) = 3² × 5¹ × 877¹ × 59¹ × 223¹
LCM(39465,39471) = 519241005