What is the Least Common Multiple of 97253 and 97271?

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 97253 and 97271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97253 and 97271, than apply into the LCM equation.

GCF(97253,97271) = 1
LCM(97253,97271) = ( 97253 × 97271) / 1
LCM(97253,97271) = 9459896563 / 1
LCM(97253,97271) = 9459896563

Least Common Multiple (LCM) of 97253 and 97271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97253 and 97271. First we will calculate the prime factors of 97253 and 97271.

Prime Factorization of 97253

Prime Factorization of 97271

Now multiplying the highest exponent prime factors to calculate the LCM of 97253 and 97271.

LCM(97253,97271) = 13¹ × 7481¹ × 211¹ × 461¹
LCM(97253,97271) = 9459896563