What is the Least Common Multiple of 97148 and 97159?

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 97148 and 97159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97148 and 97159, than apply into the LCM equation.

GCF(97148,97159) = 1
LCM(97148,97159) = ( 97148 × 97159) / 1
LCM(97148,97159) = 9438802532 / 1
LCM(97148,97159) = 9438802532

Least Common Multiple (LCM) of 97148 and 97159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97148 and 97159. First we will calculate the prime factors of 97148 and 97159.

Prime Factorization of 97148

Prime Factorization of 97159

Now multiplying the highest exponent prime factors to calculate the LCM of 97148 and 97159.

LCM(97148,97159) = 2² × 149¹ × 163¹ × 97159¹
LCM(97148,97159) = 9438802532