What is the Least Common Multiple of 77298 and 77317?

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 77298 and 77317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77298 and 77317, than apply into the LCM equation.

GCF(77298,77317) = 1
LCM(77298,77317) = ( 77298 × 77317) / 1
LCM(77298,77317) = 5976449466 / 1
LCM(77298,77317) = 5976449466

Least Common Multiple (LCM) of 77298 and 77317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77298 and 77317. First we will calculate the prime factors of 77298 and 77317.

Prime Factorization of 77298

Prime Factorization of 77317

Now multiplying the highest exponent prime factors to calculate the LCM of 77298 and 77317.

LCM(77298,77317) = 2¹ × 3¹ × 13¹ × 991¹ × 77317¹
LCM(77298,77317) = 5976449466