What is the Least Common Multiple of 56205 and 56225?

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 56205 and 56225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56205 and 56225, than apply into the LCM equation.

GCF(56205,56225) = 5
LCM(56205,56225) = ( 56205 × 56225) / 5
LCM(56205,56225) = 3160126125 / 5
LCM(56205,56225) = 632025225

Least Common Multiple (LCM) of 56205 and 56225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56205 and 56225. First we will calculate the prime factors of 56205 and 56225.

Prime Factorization of 56205

Prime Factorization of 56225

Now multiplying the highest exponent prime factors to calculate the LCM of 56205 and 56225.

LCM(56205,56225) = 3² × 5² × 1249¹ × 13¹ × 173¹
LCM(56205,56225) = 632025225