What is the Least Common Multiple of 82225 and 82235?

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 82225 and 82235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82225 and 82235, than apply into the LCM equation.

GCF(82225,82235) = 5
LCM(82225,82235) = ( 82225 × 82235) / 5
LCM(82225,82235) = 6761772875 / 5
LCM(82225,82235) = 1352354575

Least Common Multiple (LCM) of 82225 and 82235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82225 and 82235. First we will calculate the prime factors of 82225 and 82235.

Prime Factorization of 82225

Prime Factorization of 82235

Now multiplying the highest exponent prime factors to calculate the LCM of 82225 and 82235.

LCM(82225,82235) = 5² × 11¹ × 13¹ × 23¹ × 16447¹
LCM(82225,82235) = 1352354575