What is the Least Common Multiple of 56536 and 56545?

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 56536 and 56545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56536 and 56545, than apply into the LCM equation.

GCF(56536,56545) = 1
LCM(56536,56545) = ( 56536 × 56545) / 1
LCM(56536,56545) = 3196828120 / 1
LCM(56536,56545) = 3196828120

Least Common Multiple (LCM) of 56536 and 56545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56536 and 56545. First we will calculate the prime factors of 56536 and 56545.

Prime Factorization of 56536

Prime Factorization of 56545

Now multiplying the highest exponent prime factors to calculate the LCM of 56536 and 56545.

LCM(56536,56545) = 2³ × 37¹ × 191¹ × 5¹ × 43¹ × 263¹
LCM(56536,56545) = 3196828120