GCF and LCM Calculator Logo

What is the Least Common Multiple of 77859 and 77864?

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 77859 and 77864 is 6062413176.

LCM(77859,77864) = 6062413176

LCM Calculator and
and

Least Common Multiple of 77859 and 77864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77859 and 77864, than apply into the LCM equation.

GCF(77859,77864) = 1
LCM(77859,77864) = ( 77859 × 77864) / 1
LCM(77859,77864) = 6062413176 / 1
LCM(77859,77864) = 6062413176

Least Common Multiple (LCM) of 77859 and 77864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77859 and 77864. First we will calculate the prime factors of 77859 and 77864.

Prime Factorization of 77859

Prime factors of 77859 are 3, 41, 211. Prime factorization of 77859 in exponential form is:

77859 = 32 × 411 × 2111

Prime Factorization of 77864

Prime factors of 77864 are 2, 9733. Prime factorization of 77864 in exponential form is:

77864 = 23 × 97331

Now multiplying the highest exponent prime factors to calculate the LCM of 77859 and 77864.

LCM(77859,77864) = 32 × 411 × 2111 × 23 × 97331
LCM(77859,77864) = 6062413176