What is the Least Common Multiple of 97141 and 97147?

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 97141 and 97147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97141 and 97147, than apply into the LCM equation.

GCF(97141,97147) = 1
LCM(97141,97147) = ( 97141 × 97147) / 1
LCM(97141,97147) = 9436956727 / 1
LCM(97141,97147) = 9436956727

Least Common Multiple (LCM) of 97141 and 97147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97141 and 97147. First we will calculate the prime factors of 97141 and 97147.

Prime Factorization of 97141

Prime Factorization of 97147

Now multiplying the highest exponent prime factors to calculate the LCM of 97141 and 97147.

LCM(97141,97147) = 11¹ × 8831¹ × 19¹ × 5113¹
LCM(97141,97147) = 9436956727