GCF and LCM Calculator Logo

What is the Least Common Multiple of 29457 and 29462?

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 29457 and 29462 is 867862134.

LCM(29457,29462) = 867862134

LCM Calculator and
and

Least Common Multiple of 29457 and 29462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29457 and 29462, than apply into the LCM equation.

GCF(29457,29462) = 1
LCM(29457,29462) = ( 29457 × 29462) / 1
LCM(29457,29462) = 867862134 / 1
LCM(29457,29462) = 867862134

Least Common Multiple (LCM) of 29457 and 29462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29457 and 29462. First we will calculate the prime factors of 29457 and 29462.

Prime Factorization of 29457

Prime factors of 29457 are 3, 1091. Prime factorization of 29457 in exponential form is:

29457 = 33 × 10911

Prime Factorization of 29462

Prime factors of 29462 are 2, 14731. Prime factorization of 29462 in exponential form is:

29462 = 21 × 147311

Now multiplying the highest exponent prime factors to calculate the LCM of 29457 and 29462.

LCM(29457,29462) = 33 × 10911 × 21 × 147311
LCM(29457,29462) = 867862134