What is the Least Common Multiple of 97097 and 97103?

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 97097 and 97103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97097 and 97103, than apply into the LCM equation.

GCF(97097,97103) = 1
LCM(97097,97103) = ( 97097 × 97103) / 1
LCM(97097,97103) = 9428409991 / 1
LCM(97097,97103) = 9428409991

Least Common Multiple (LCM) of 97097 and 97103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97097 and 97103. First we will calculate the prime factors of 97097 and 97103.

Prime Factorization of 97097

Prime Factorization of 97103

Now multiplying the highest exponent prime factors to calculate the LCM of 97097 and 97103.

LCM(97097,97103) = 7¹ × 11¹ × 13¹ × 97¹ × 97103¹
LCM(97097,97103) = 9428409991