GCF and LCM Calculator Logo

What is the Least Common Multiple of 77348 and 77363?

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 77348 and 77363 is 5983873324.

LCM(77348,77363) = 5983873324

LCM Calculator and
and

Least Common Multiple of 77348 and 77363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77348 and 77363, than apply into the LCM equation.

GCF(77348,77363) = 1
LCM(77348,77363) = ( 77348 × 77363) / 1
LCM(77348,77363) = 5983873324 / 1
LCM(77348,77363) = 5983873324

Least Common Multiple (LCM) of 77348 and 77363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77348 and 77363. First we will calculate the prime factors of 77348 and 77363.

Prime Factorization of 77348

Prime factors of 77348 are 2, 61, 317. Prime factorization of 77348 in exponential form is:

77348 = 22 × 611 × 3171

Prime Factorization of 77363

Prime factors of 77363 are 11, 13, 541. Prime factorization of 77363 in exponential form is:

77363 = 111 × 131 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 77348 and 77363.

LCM(77348,77363) = 22 × 611 × 3171 × 111 × 131 × 5411
LCM(77348,77363) = 5983873324