What is the Least Common Multiple of 97525 and 97543?

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 97525 and 97543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97525 and 97543, than apply into the LCM equation.

GCF(97525,97543) = 1
LCM(97525,97543) = ( 97525 × 97543) / 1
LCM(97525,97543) = 9512881075 / 1
LCM(97525,97543) = 9512881075

Least Common Multiple (LCM) of 97525 and 97543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97525 and 97543. First we will calculate the prime factors of 97525 and 97543.

Prime Factorization of 97525

Prime Factorization of 97543

Now multiplying the highest exponent prime factors to calculate the LCM of 97525 and 97543.

LCM(97525,97543) = 5² × 47¹ × 83¹ × 23¹ × 4241¹
LCM(97525,97543) = 9512881075