What is the Least Common Multiple of 97318 and 97338?

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 97318 and 97338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97318 and 97338, than apply into the LCM equation.

GCF(97318,97338) = 2
LCM(97318,97338) = ( 97318 × 97338) / 2
LCM(97318,97338) = 9472739484 / 2
LCM(97318,97338) = 4736369742

Least Common Multiple (LCM) of 97318 and 97338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97318 and 97338. First we will calculate the prime factors of 97318 and 97338.

Prime Factorization of 97318

Prime Factorization of 97338

Now multiplying the highest exponent prime factors to calculate the LCM of 97318 and 97338.

LCM(97318,97338) = 2¹ × 13¹ × 19¹ × 197¹ × 3¹ × 16223¹
LCM(97318,97338) = 4736369742