What is the Least Common Multiple of 97125 and 97145?

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 97125 and 97145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97125 and 97145, than apply into the LCM equation.

GCF(97125,97145) = 5
LCM(97125,97145) = ( 97125 × 97145) / 5
LCM(97125,97145) = 9435208125 / 5
LCM(97125,97145) = 1887041625

Least Common Multiple (LCM) of 97125 and 97145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97125 and 97145. First we will calculate the prime factors of 97125 and 97145.

Prime Factorization of 97125

Prime Factorization of 97145

Now multiplying the highest exponent prime factors to calculate the LCM of 97125 and 97145.

LCM(97125,97145) = 3¹ × 5³ × 7¹ × 37¹ × 19429¹
LCM(97125,97145) = 1887041625