What is the Least Common Multiple of 40558 and 40569?

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 40558 and 40569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40558 and 40569, than apply into the LCM equation.

GCF(40558,40569) = 1
LCM(40558,40569) = ( 40558 × 40569) / 1
LCM(40558,40569) = 1645397502 / 1
LCM(40558,40569) = 1645397502

Least Common Multiple (LCM) of 40558 and 40569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40558 and 40569. First we will calculate the prime factors of 40558 and 40569.

Prime Factorization of 40558

Prime Factorization of 40569

Now multiplying the highest exponent prime factors to calculate the LCM of 40558 and 40569.

LCM(40558,40569) = 2¹ × 7¹ × 2897¹ × 3¹ × 13523¹
LCM(40558,40569) = 1645397502