GCF and LCM Calculator Logo

What is the Least Common Multiple of 42315 and 42334?

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 42315 and 42334 is 1791363210.

LCM(42315,42334) = 1791363210

LCM Calculator and
and

Least Common Multiple of 42315 and 42334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42315 and 42334, than apply into the LCM equation.

GCF(42315,42334) = 1
LCM(42315,42334) = ( 42315 × 42334) / 1
LCM(42315,42334) = 1791363210 / 1
LCM(42315,42334) = 1791363210

Least Common Multiple (LCM) of 42315 and 42334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42315 and 42334. First we will calculate the prime factors of 42315 and 42334.

Prime Factorization of 42315

Prime factors of 42315 are 3, 5, 7, 13, 31. Prime factorization of 42315 in exponential form is:

42315 = 31 × 51 × 71 × 131 × 311

Prime Factorization of 42334

Prime factors of 42334 are 2, 61, 347. Prime factorization of 42334 in exponential form is:

42334 = 21 × 611 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 42315 and 42334.

LCM(42315,42334) = 31 × 51 × 71 × 131 × 311 × 21 × 611 × 3471
LCM(42315,42334) = 1791363210