GCF and LCM Calculator Logo

What is the Least Common Multiple of 23077 and 23082?

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 23077 and 23082 is 532663314.

LCM(23077,23082) = 532663314

LCM Calculator and
and

Least Common Multiple of 23077 and 23082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23077 and 23082, than apply into the LCM equation.

GCF(23077,23082) = 1
LCM(23077,23082) = ( 23077 × 23082) / 1
LCM(23077,23082) = 532663314 / 1
LCM(23077,23082) = 532663314

Least Common Multiple (LCM) of 23077 and 23082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23077 and 23082. First we will calculate the prime factors of 23077 and 23082.

Prime Factorization of 23077

Prime factors of 23077 are 47, 491. Prime factorization of 23077 in exponential form is:

23077 = 471 × 4911

Prime Factorization of 23082

Prime factors of 23082 are 2, 3, 3847. Prime factorization of 23082 in exponential form is:

23082 = 21 × 31 × 38471

Now multiplying the highest exponent prime factors to calculate the LCM of 23077 and 23082.

LCM(23077,23082) = 471 × 4911 × 21 × 31 × 38471
LCM(23077,23082) = 532663314