What is the Least Common Multiple of 97069 and 97075?

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 97069 and 97075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97069 and 97075, than apply into the LCM equation.

GCF(97069,97075) = 1
LCM(97069,97075) = ( 97069 × 97075) / 1
LCM(97069,97075) = 9422973175 / 1
LCM(97069,97075) = 9422973175

Least Common Multiple (LCM) of 97069 and 97075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97069 and 97075. First we will calculate the prime factors of 97069 and 97075.

Prime Factorization of 97069

Prime Factorization of 97075

Now multiplying the highest exponent prime factors to calculate the LCM of 97069 and 97075.

LCM(97069,97075) = 7³ × 283¹ × 5² × 11¹ × 353¹
LCM(97069,97075) = 9422973175