GCF and LCM Calculator Logo

What is the Least Common Multiple of 27706 and 27726?

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 27706 and 27726 is 384088278.

LCM(27706,27726) = 384088278

LCM Calculator and
and

Least Common Multiple of 27706 and 27726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27706 and 27726, than apply into the LCM equation.

GCF(27706,27726) = 2
LCM(27706,27726) = ( 27706 × 27726) / 2
LCM(27706,27726) = 768176556 / 2
LCM(27706,27726) = 384088278

Least Common Multiple (LCM) of 27706 and 27726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27706 and 27726. First we will calculate the prime factors of 27706 and 27726.

Prime Factorization of 27706

Prime factors of 27706 are 2, 7, 1979. Prime factorization of 27706 in exponential form is:

27706 = 21 × 71 × 19791

Prime Factorization of 27726

Prime factors of 27726 are 2, 3, 4621. Prime factorization of 27726 in exponential form is:

27726 = 21 × 31 × 46211

Now multiplying the highest exponent prime factors to calculate the LCM of 27706 and 27726.

LCM(27706,27726) = 21 × 71 × 19791 × 31 × 46211
LCM(27706,27726) = 384088278