What is the Least Common Multiple of 56526 and 56541?

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 56526 and 56541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56526 and 56541, than apply into the LCM equation.

GCF(56526,56541) = 3
LCM(56526,56541) = ( 56526 × 56541) / 3
LCM(56526,56541) = 3196036566 / 3
LCM(56526,56541) = 1065345522

Least Common Multiple (LCM) of 56526 and 56541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56526 and 56541. First we will calculate the prime factors of 56526 and 56541.

Prime Factorization of 56526

Prime Factorization of 56541

Now multiplying the highest exponent prime factors to calculate the LCM of 56526 and 56541.

LCM(56526,56541) = 2¹ × 3¹ × 9421¹ × 47¹ × 401¹
LCM(56526,56541) = 1065345522