What is the Least Common Multiple of 77298 and 77311?

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 77311 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 77311, than apply into the LCM equation.

GCF(77298,77311) = 13
LCM(77298,77311) = ( 77298 × 77311) / 13
LCM(77298,77311) = 5975985678 / 13
LCM(77298,77311) = 459691206

Least Common Multiple (LCM) of 77298 and 77311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77298 and 77311. First we will calculate the prime factors of 77298 and 77311.

Prime Factorization of 77298

Prime Factorization of 77311

Now multiplying the highest exponent prime factors to calculate the LCM of 77298 and 77311.

LCM(77298,77311) = 2¹ × 3¹ × 13¹ × 991¹ × 19¹ × 313¹
LCM(77298,77311) = 459691206