GCF and LCM Calculator Logo

What is the Least Common Multiple of 77327 and 77332?

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 (LCM) of 77327 and 77332 is 5979851564.

LCM(77327,77332) = 5979851564

LCM Calculator and
and

Least Common Multiple of 77327 and 77332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77327 and 77332, than apply into the LCM equation.

GCF(77327,77332) = 1
LCM(77327,77332) = ( 77327 × 77332) / 1
LCM(77327,77332) = 5979851564 / 1
LCM(77327,77332) = 5979851564

Least Common Multiple (LCM) of 77327 and 77332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77327 and 77332. First we will calculate the prime factors of 77327 and 77332.

Prime Factorization of 77327

Prime factors of 77327 are 53, 1459. Prime factorization of 77327 in exponential form is:

77327 = 531 × 14591

Prime Factorization of 77332

Prime factors of 77332 are 2, 19333. Prime factorization of 77332 in exponential form is:

77332 = 22 × 193331

Now multiplying the highest exponent prime factors to calculate the LCM of 77327 and 77332.

LCM(77327,77332) = 531 × 14591 × 22 × 193331
LCM(77327,77332) = 5979851564