GCF and LCM Calculator Logo

What is the Least Common Multiple of 29837 and 29846?

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 29837 and 29846 is 890515102.

LCM(29837,29846) = 890515102

LCM Calculator and
and

Least Common Multiple of 29837 and 29846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29837 and 29846, than apply into the LCM equation.

GCF(29837,29846) = 1
LCM(29837,29846) = ( 29837 × 29846) / 1
LCM(29837,29846) = 890515102 / 1
LCM(29837,29846) = 890515102

Least Common Multiple (LCM) of 29837 and 29846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29837 and 29846. First we will calculate the prime factors of 29837 and 29846.

Prime Factorization of 29837

Prime factors of 29837 are 29837. Prime factorization of 29837 in exponential form is:

29837 = 298371

Prime Factorization of 29846

Prime factors of 29846 are 2, 14923. Prime factorization of 29846 in exponential form is:

29846 = 21 × 149231

Now multiplying the highest exponent prime factors to calculate the LCM of 29837 and 29846.

LCM(29837,29846) = 298371 × 21 × 149231
LCM(29837,29846) = 890515102