GCF and LCM Calculator Logo

What is the Least Common Multiple of 77486 and 77491?

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 77486 and 77491 is 6004467626.

LCM(77486,77491) = 6004467626

LCM Calculator and
and

Least Common Multiple of 77486 and 77491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77486 and 77491, than apply into the LCM equation.

GCF(77486,77491) = 1
LCM(77486,77491) = ( 77486 × 77491) / 1
LCM(77486,77491) = 6004467626 / 1
LCM(77486,77491) = 6004467626

Least Common Multiple (LCM) of 77486 and 77491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77486 and 77491. First we will calculate the prime factors of 77486 and 77491.

Prime Factorization of 77486

Prime factors of 77486 are 2, 17, 43, 53. Prime factorization of 77486 in exponential form is:

77486 = 21 × 171 × 431 × 531

Prime Factorization of 77491

Prime factors of 77491 are 77491. Prime factorization of 77491 in exponential form is:

77491 = 774911

Now multiplying the highest exponent prime factors to calculate the LCM of 77486 and 77491.

LCM(77486,77491) = 21 × 171 × 431 × 531 × 774911
LCM(77486,77491) = 6004467626