GCF and LCM Calculator Logo

What is the Least Common Multiple of 29860 and 29864?

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 29860 and 29864 is 222934760.

LCM(29860,29864) = 222934760

LCM Calculator and
and

Least Common Multiple of 29860 and 29864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29860 and 29864, than apply into the LCM equation.

GCF(29860,29864) = 4
LCM(29860,29864) = ( 29860 × 29864) / 4
LCM(29860,29864) = 891739040 / 4
LCM(29860,29864) = 222934760

Least Common Multiple (LCM) of 29860 and 29864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29860 and 29864. First we will calculate the prime factors of 29860 and 29864.

Prime Factorization of 29860

Prime factors of 29860 are 2, 5, 1493. Prime factorization of 29860 in exponential form is:

29860 = 22 × 51 × 14931

Prime Factorization of 29864

Prime factors of 29864 are 2, 3733. Prime factorization of 29864 in exponential form is:

29864 = 23 × 37331

Now multiplying the highest exponent prime factors to calculate the LCM of 29860 and 29864.

LCM(29860,29864) = 23 × 51 × 14931 × 37331
LCM(29860,29864) = 222934760