What is the Least Common Multiple of 97282 and 97297?

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 97282 and 97297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97282 and 97297, than apply into the LCM equation.

GCF(97282,97297) = 1
LCM(97282,97297) = ( 97282 × 97297) / 1
LCM(97282,97297) = 9465246754 / 1
LCM(97282,97297) = 9465246754

Least Common Multiple (LCM) of 97282 and 97297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97282 and 97297. First we will calculate the prime factors of 97282 and 97297.

Prime Factorization of 97282

Prime Factorization of 97297

Now multiplying the highest exponent prime factors to calculate the LCM of 97282 and 97297.

LCM(97282,97297) = 2¹ × 127¹ × 383¹ × 149¹ × 653¹
LCM(97282,97297) = 9465246754