What is the Least Common Multiple of 82925 and 82945?

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 82925 and 82945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82925 and 82945, than apply into the LCM equation.

GCF(82925,82945) = 5
LCM(82925,82945) = ( 82925 × 82945) / 5
LCM(82925,82945) = 6878214125 / 5
LCM(82925,82945) = 1375642825

Least Common Multiple (LCM) of 82925 and 82945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82925 and 82945. First we will calculate the prime factors of 82925 and 82945.

Prime Factorization of 82925

Prime Factorization of 82945

Now multiplying the highest exponent prime factors to calculate the LCM of 82925 and 82945.

LCM(82925,82945) = 5² × 31¹ × 107¹ × 53¹ × 313¹
LCM(82925,82945) = 1375642825