What is the Least Common Multiple of 97457 and 97471?

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 97457 and 97471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97457 and 97471, than apply into the LCM equation.

GCF(97457,97471) = 1
LCM(97457,97471) = ( 97457 × 97471) / 1
LCM(97457,97471) = 9499231247 / 1
LCM(97457,97471) = 9499231247

Least Common Multiple (LCM) of 97457 and 97471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97457 and 97471. First we will calculate the prime factors of 97457 and 97471.

Prime Factorization of 97457

Prime Factorization of 97471

Now multiplying the highest exponent prime factors to calculate the LCM of 97457 and 97471.

LCM(97457,97471) = 41¹ × 2377¹ × 11¹ × 8861¹
LCM(97457,97471) = 9499231247