What is the Least Common Multiple of 40586 and 40596?

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 40586 and 40596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40586 and 40596, than apply into the LCM equation.

GCF(40586,40596) = 2
LCM(40586,40596) = ( 40586 × 40596) / 2
LCM(40586,40596) = 1647629256 / 2
LCM(40586,40596) = 823814628

Least Common Multiple (LCM) of 40586 and 40596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40586 and 40596. First we will calculate the prime factors of 40586 and 40596.

Prime Factorization of 40586

Prime Factorization of 40596

Now multiplying the highest exponent prime factors to calculate the LCM of 40586 and 40596.

LCM(40586,40596) = 2² × 7¹ × 13¹ × 223¹ × 3¹ × 17¹ × 199¹
LCM(40586,40596) = 823814628