What is the Least Common Multiple of 97925 and 97945?

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 97925 and 97945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97925 and 97945, than apply into the LCM equation.

GCF(97925,97945) = 5
LCM(97925,97945) = ( 97925 × 97945) / 5
LCM(97925,97945) = 9591264125 / 5
LCM(97925,97945) = 1918252825

Least Common Multiple (LCM) of 97925 and 97945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97925 and 97945. First we will calculate the prime factors of 97925 and 97945.

Prime Factorization of 97925

Prime Factorization of 97945

Now multiplying the highest exponent prime factors to calculate the LCM of 97925 and 97945.

LCM(97925,97945) = 5² × 3917¹ × 19¹ × 1031¹
LCM(97925,97945) = 1918252825