What is the Least Common Multiple of 56219 and 56235?

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 56219 and 56235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56219 and 56235, than apply into the LCM equation.

GCF(56219,56235) = 1
LCM(56219,56235) = ( 56219 × 56235) / 1
LCM(56219,56235) = 3161475465 / 1
LCM(56219,56235) = 3161475465

Least Common Multiple (LCM) of 56219 and 56235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56219 and 56235. First we will calculate the prime factors of 56219 and 56235.

Prime Factorization of 56219

Prime Factorization of 56235

Now multiplying the highest exponent prime factors to calculate the LCM of 56219 and 56235.

LCM(56219,56235) = 17¹ × 3307¹ × 3¹ × 5¹ × 23¹ × 163¹
LCM(56219,56235) = 3161475465