What is the Least Common Multiple of 56854 and 56864?

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 56854 and 56864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56854 and 56864, than apply into the LCM equation.

GCF(56854,56864) = 2
LCM(56854,56864) = ( 56854 × 56864) / 2
LCM(56854,56864) = 3232945856 / 2
LCM(56854,56864) = 1616472928

Least Common Multiple (LCM) of 56854 and 56864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56854 and 56864. First we will calculate the prime factors of 56854 and 56864.

Prime Factorization of 56854

Prime Factorization of 56864

Now multiplying the highest exponent prime factors to calculate the LCM of 56854 and 56864.

LCM(56854,56864) = 2⁵ × 7¹ × 31¹ × 131¹ × 1777¹
LCM(56854,56864) = 1616472928