What is the Least Common Multiple of 40509 and 40516?

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 40509 and 40516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40509 and 40516, than apply into the LCM equation.

GCF(40509,40516) = 7
LCM(40509,40516) = ( 40509 × 40516) / 7
LCM(40509,40516) = 1641262644 / 7
LCM(40509,40516) = 234466092

Least Common Multiple (LCM) of 40509 and 40516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40509 and 40516. First we will calculate the prime factors of 40509 and 40516.

Prime Factorization of 40509

Prime Factorization of 40516

Now multiplying the highest exponent prime factors to calculate the LCM of 40509 and 40516.

LCM(40509,40516) = 3² × 7¹ × 643¹ × 2² × 1447¹
LCM(40509,40516) = 234466092