GCF and LCM Calculator Logo

What is the Least Common Multiple of 95566 and 95583?

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 95566 and 95583 is 9134484978.

LCM(95566,95583) = 9134484978

LCM Calculator and
and

Least Common Multiple of 95566 and 95583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95566 and 95583, than apply into the LCM equation.

GCF(95566,95583) = 1
LCM(95566,95583) = ( 95566 × 95583) / 1
LCM(95566,95583) = 9134484978 / 1
LCM(95566,95583) = 9134484978

Least Common Multiple (LCM) of 95566 and 95583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95566 and 95583. First we will calculate the prime factors of 95566 and 95583.

Prime Factorization of 95566

Prime factors of 95566 are 2, 71, 673. Prime factorization of 95566 in exponential form is:

95566 = 21 × 711 × 6731

Prime Factorization of 95583

Prime factors of 95583 are 3, 151, 211. Prime factorization of 95583 in exponential form is:

95583 = 31 × 1511 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 95566 and 95583.

LCM(95566,95583) = 21 × 711 × 6731 × 31 × 1511 × 2111
LCM(95566,95583) = 9134484978