What is the Least Common Multiple of 97274 and 97282?

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 97274 and 97282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97274 and 97282, than apply into the LCM equation.

GCF(97274,97282) = 2
LCM(97274,97282) = ( 97274 × 97282) / 2
LCM(97274,97282) = 9463009268 / 2
LCM(97274,97282) = 4731504634

Least Common Multiple (LCM) of 97274 and 97282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97274 and 97282. First we will calculate the prime factors of 97274 and 97282.

Prime Factorization of 97274

Prime Factorization of 97282

Now multiplying the highest exponent prime factors to calculate the LCM of 97274 and 97282.

LCM(97274,97282) = 2¹ × 17¹ × 2861¹ × 127¹ × 383¹
LCM(97274,97282) = 4731504634