What is the Least Common Multiple of 97103 and 97109?

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 97103 and 97109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97103 and 97109, than apply into the LCM equation.

GCF(97103,97109) = 1
LCM(97103,97109) = ( 97103 × 97109) / 1
LCM(97103,97109) = 9429575227 / 1
LCM(97103,97109) = 9429575227

Least Common Multiple (LCM) of 97103 and 97109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97103 and 97109. First we will calculate the prime factors of 97103 and 97109.

Prime Factorization of 97103

Prime Factorization of 97109

Now multiplying the highest exponent prime factors to calculate the LCM of 97103 and 97109.

LCM(97103,97109) = 97103¹ × 19² × 269¹
LCM(97103,97109) = 9429575227