What is the Least Common Multiple of 56541 and 56561?

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 56541 and 56561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56541 and 56561, than apply into the LCM equation.

GCF(56541,56561) = 1
LCM(56541,56561) = ( 56541 × 56561) / 1
LCM(56541,56561) = 3198015501 / 1
LCM(56541,56561) = 3198015501

Least Common Multiple (LCM) of 56541 and 56561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56541 and 56561. First we will calculate the prime factors of 56541 and 56561.

Prime Factorization of 56541

Prime Factorization of 56561

Now multiplying the highest exponent prime factors to calculate the LCM of 56541 and 56561.

LCM(56541,56561) = 3¹ × 47¹ × 401¹ × 163¹ × 347¹
LCM(56541,56561) = 3198015501