GCF and LCM Calculator Logo

What is the Least Common Multiple of 77405 and 77411?

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 77405 and 77411 is 5991998455.

LCM(77405,77411) = 5991998455

LCM Calculator and
and

Least Common Multiple of 77405 and 77411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77405 and 77411, than apply into the LCM equation.

GCF(77405,77411) = 1
LCM(77405,77411) = ( 77405 × 77411) / 1
LCM(77405,77411) = 5991998455 / 1
LCM(77405,77411) = 5991998455

Least Common Multiple (LCM) of 77405 and 77411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77405 and 77411. First we will calculate the prime factors of 77405 and 77411.

Prime Factorization of 77405

Prime factors of 77405 are 5, 113, 137. Prime factorization of 77405 in exponential form is:

77405 = 51 × 1131 × 1371

Prime Factorization of 77411

Prime factors of 77411 are 199, 389. Prime factorization of 77411 in exponential form is:

77411 = 1991 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 77405 and 77411.

LCM(77405,77411) = 51 × 1131 × 1371 × 1991 × 3891
LCM(77405,77411) = 5991998455