What is the Least Common Multiple of 82913 and 82925?

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 82913 and 82925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82913 and 82925, than apply into the LCM equation.

GCF(82913,82925) = 1
LCM(82913,82925) = ( 82913 × 82925) / 1
LCM(82913,82925) = 6875560525 / 1
LCM(82913,82925) = 6875560525

Least Common Multiple (LCM) of 82913 and 82925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82913 and 82925. First we will calculate the prime factors of 82913 and 82925.

Prime Factorization of 82913

Prime Factorization of 82925

Now multiplying the highest exponent prime factors to calculate the LCM of 82913 and 82925.

LCM(82913,82925) = 82913¹ × 5² × 31¹ × 107¹
LCM(82913,82925) = 6875560525