What is the Least Common Multiple of 97270 and 97275?

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 97270 and 97275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97270 and 97275, than apply into the LCM equation.

GCF(97270,97275) = 5
LCM(97270,97275) = ( 97270 × 97275) / 5
LCM(97270,97275) = 9461939250 / 5
LCM(97270,97275) = 1892387850

Least Common Multiple (LCM) of 97270 and 97275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97270 and 97275. First we will calculate the prime factors of 97270 and 97275.

Prime Factorization of 97270

Prime Factorization of 97275

Now multiplying the highest exponent prime factors to calculate the LCM of 97270 and 97275.

LCM(97270,97275) = 2¹ × 5² × 71¹ × 137¹ × 3¹ × 1297¹
LCM(97270,97275) = 1892387850