What is the Least Common Multiple of 56760 and 56771?

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 56760 and 56771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56760 and 56771, than apply into the LCM equation.

GCF(56760,56771) = 11
LCM(56760,56771) = ( 56760 × 56771) / 11
LCM(56760,56771) = 3222321960 / 11
LCM(56760,56771) = 292938360

Least Common Multiple (LCM) of 56760 and 56771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56760 and 56771. First we will calculate the prime factors of 56760 and 56771.

Prime Factorization of 56760

Prime Factorization of 56771

Now multiplying the highest exponent prime factors to calculate the LCM of 56760 and 56771.

LCM(56760,56771) = 2³ × 3¹ × 5¹ × 11¹ × 43¹ × 13¹ × 397¹
LCM(56760,56771) = 292938360