What is the Least Common Multiple of 81410 and 81425?

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 81410 and 81425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81410 and 81425, than apply into the LCM equation.

GCF(81410,81425) = 5
LCM(81410,81425) = ( 81410 × 81425) / 5
LCM(81410,81425) = 6628809250 / 5
LCM(81410,81425) = 1325761850

Least Common Multiple (LCM) of 81410 and 81425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81410 and 81425. First we will calculate the prime factors of 81410 and 81425.

Prime Factorization of 81410

Prime Factorization of 81425

Now multiplying the highest exponent prime factors to calculate the LCM of 81410 and 81425.

LCM(81410,81425) = 2¹ × 5² × 7¹ × 1163¹ × 3257¹
LCM(81410,81425) = 1325761850