What is the Least Common Multiple of 97294 and 97310?

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 97294 and 97310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97294 and 97310, than apply into the LCM equation.

GCF(97294,97310) = 2
LCM(97294,97310) = ( 97294 × 97310) / 2
LCM(97294,97310) = 9467679140 / 2
LCM(97294,97310) = 4733839570

Least Common Multiple (LCM) of 97294 and 97310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97294 and 97310. First we will calculate the prime factors of 97294 and 97310.

Prime Factorization of 97294

Prime Factorization of 97310

Now multiplying the highest exponent prime factors to calculate the LCM of 97294 and 97310.

LCM(97294,97310) = 2¹ × 48647¹ × 5¹ × 37¹ × 263¹
LCM(97294,97310) = 4733839570