What is the Least Common Multiple of 40544 and 40558?

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 40544 and 40558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40544 and 40558, than apply into the LCM equation.

GCF(40544,40558) = 14
LCM(40544,40558) = ( 40544 × 40558) / 14
LCM(40544,40558) = 1644383552 / 14
LCM(40544,40558) = 117455968

Least Common Multiple (LCM) of 40544 and 40558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40544 and 40558. First we will calculate the prime factors of 40544 and 40558.

Prime Factorization of 40544

Prime Factorization of 40558

Now multiplying the highest exponent prime factors to calculate the LCM of 40544 and 40558.

LCM(40544,40558) = 2⁵ × 7¹ × 181¹ × 2897¹
LCM(40544,40558) = 117455968