What is the Least Common Multiple of 97251 and 97269?

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 97251 and 97269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97251 and 97269, than apply into the LCM equation.

GCF(97251,97269) = 3
LCM(97251,97269) = ( 97251 × 97269) / 3
LCM(97251,97269) = 9459507519 / 3
LCM(97251,97269) = 3153169173

Least Common Multiple (LCM) of 97251 and 97269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97251 and 97269. First we will calculate the prime factors of 97251 and 97269.

Prime Factorization of 97251

Prime Factorization of 97269

Now multiplying the highest exponent prime factors to calculate the LCM of 97251 and 97269.

LCM(97251,97269) = 3¹ × 7¹ × 11¹ × 421¹ × 32423¹
LCM(97251,97269) = 3153169173