What is the Least Common Multiple of 97278 and 97294?

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 97278 and 97294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97278 and 97294, than apply into the LCM equation.

GCF(97278,97294) = 2
LCM(97278,97294) = ( 97278 × 97294) / 2
LCM(97278,97294) = 9464565732 / 2
LCM(97278,97294) = 4732282866

Least Common Multiple (LCM) of 97278 and 97294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97278 and 97294. First we will calculate the prime factors of 97278 and 97294.

Prime Factorization of 97278

Prime Factorization of 97294

Now multiplying the highest exponent prime factors to calculate the LCM of 97278 and 97294.

LCM(97278,97294) = 2¹ × 3¹ × 31¹ × 523¹ × 48647¹
LCM(97278,97294) = 4732282866