GCF and LCM Calculator Logo

What is the Least Common Multiple of 5656 and 5661?

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 5656 and 5661 is 32018616.

LCM(5656,5661) = 32018616

LCM Calculator and
and

Least Common Multiple of 5656 and 5661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5656 and 5661, than apply into the LCM equation.

GCF(5656,5661) = 1
LCM(5656,5661) = ( 5656 × 5661) / 1
LCM(5656,5661) = 32018616 / 1
LCM(5656,5661) = 32018616

Least Common Multiple (LCM) of 5656 and 5661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5656 and 5661. First we will calculate the prime factors of 5656 and 5661.

Prime Factorization of 5656

Prime factors of 5656 are 2, 7, 101. Prime factorization of 5656 in exponential form is:

5656 = 23 × 71 × 1011

Prime Factorization of 5661

Prime factors of 5661 are 3, 17, 37. Prime factorization of 5661 in exponential form is:

5661 = 32 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 5656 and 5661.

LCM(5656,5661) = 23 × 71 × 1011 × 32 × 171 × 371
LCM(5656,5661) = 32018616