What is the Least Common Multiple of 91210 and 91225?

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 91210 and 91225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91210 and 91225, than apply into the LCM equation.

GCF(91210,91225) = 5
LCM(91210,91225) = ( 91210 × 91225) / 5
LCM(91210,91225) = 8320632250 / 5
LCM(91210,91225) = 1664126450

Least Common Multiple (LCM) of 91210 and 91225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91210 and 91225. First we will calculate the prime factors of 91210 and 91225.

Prime Factorization of 91210

Prime Factorization of 91225

Now multiplying the highest exponent prime factors to calculate the LCM of 91210 and 91225.

LCM(91210,91225) = 2¹ × 5² × 7¹ × 1303¹ × 41¹ × 89¹
LCM(91210,91225) = 1664126450