GCF and LCM Calculator Logo

What is the Least Common Multiple of 29861 and 29866?

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 29861 and 29866 is 891828626.

LCM(29861,29866) = 891828626

LCM Calculator and
and

Least Common Multiple of 29861 and 29866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29861 and 29866, than apply into the LCM equation.

GCF(29861,29866) = 1
LCM(29861,29866) = ( 29861 × 29866) / 1
LCM(29861,29866) = 891828626 / 1
LCM(29861,29866) = 891828626

Least Common Multiple (LCM) of 29861 and 29866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29861 and 29866. First we will calculate the prime factors of 29861 and 29866.

Prime Factorization of 29861

Prime factors of 29861 are 13, 2297. Prime factorization of 29861 in exponential form is:

29861 = 131 × 22971

Prime Factorization of 29866

Prime factors of 29866 are 2, 109, 137. Prime factorization of 29866 in exponential form is:

29866 = 21 × 1091 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 29861 and 29866.

LCM(29861,29866) = 131 × 22971 × 21 × 1091 × 1371
LCM(29861,29866) = 891828626