What is the Least Common Multiple of 77319 and 77333?

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 77319 and 77333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77319 and 77333, than apply into the LCM equation.

GCF(77319,77333) = 1
LCM(77319,77333) = ( 77319 × 77333) / 1
LCM(77319,77333) = 5979310227 / 1
LCM(77319,77333) = 5979310227

Least Common Multiple (LCM) of 77319 and 77333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77319 and 77333. First we will calculate the prime factors of 77319 and 77333.

Prime Factorization of 77319

Prime Factorization of 77333

Now multiplying the highest exponent prime factors to calculate the LCM of 77319 and 77333.

LCM(77319,77333) = 3² × 11² × 71¹ × 17¹ × 4549¹
LCM(77319,77333) = 5979310227