What is the Least Common Multiple of 97364 and 97378?

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 97364 and 97378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97364 and 97378, than apply into the LCM equation.

GCF(97364,97378) = 2
LCM(97364,97378) = ( 97364 × 97378) / 2
LCM(97364,97378) = 9481111592 / 2
LCM(97364,97378) = 4740555796

Least Common Multiple (LCM) of 97364 and 97378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97364 and 97378. First we will calculate the prime factors of 97364 and 97378.

Prime Factorization of 97364

Prime Factorization of 97378

Now multiplying the highest exponent prime factors to calculate the LCM of 97364 and 97378.

LCM(97364,97378) = 2² × 101¹ × 241¹ × 181¹ × 269¹
LCM(97364,97378) = 4740555796