What is the Least Common Multiple of 31210 and 31225?

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 31210 and 31225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31210 and 31225, than apply into the LCM equation.

GCF(31210,31225) = 5
LCM(31210,31225) = ( 31210 × 31225) / 5
LCM(31210,31225) = 974532250 / 5
LCM(31210,31225) = 194906450

Least Common Multiple (LCM) of 31210 and 31225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31210 and 31225. First we will calculate the prime factors of 31210 and 31225.

Prime Factorization of 31210

Prime Factorization of 31225

Now multiplying the highest exponent prime factors to calculate the LCM of 31210 and 31225.

LCM(31210,31225) = 2¹ × 5² × 3121¹ × 1249¹
LCM(31210,31225) = 194906450