What is the Least Common Multiple of 97269 and 97278?

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 97269 and 97278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97269 and 97278, than apply into the LCM equation.

GCF(97269,97278) = 3
LCM(97269,97278) = ( 97269 × 97278) / 3
LCM(97269,97278) = 9462133782 / 3
LCM(97269,97278) = 3154044594

Least Common Multiple (LCM) of 97269 and 97278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97269 and 97278. First we will calculate the prime factors of 97269 and 97278.

Prime Factorization of 97269

Prime Factorization of 97278

Now multiplying the highest exponent prime factors to calculate the LCM of 97269 and 97278.

LCM(97269,97278) = 3¹ × 32423¹ × 2¹ × 31¹ × 523¹
LCM(97269,97278) = 3154044594