GCF and LCM Calculator Logo

What is the Least Common Multiple of 42884 and 42901?

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 42884 and 42901 is 1839766484.

LCM(42884,42901) = 1839766484

LCM Calculator and
and

Least Common Multiple of 42884 and 42901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42884 and 42901, than apply into the LCM equation.

GCF(42884,42901) = 1
LCM(42884,42901) = ( 42884 × 42901) / 1
LCM(42884,42901) = 1839766484 / 1
LCM(42884,42901) = 1839766484

Least Common Multiple (LCM) of 42884 and 42901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42884 and 42901. First we will calculate the prime factors of 42884 and 42901.

Prime Factorization of 42884

Prime factors of 42884 are 2, 71, 151. Prime factorization of 42884 in exponential form is:

42884 = 22 × 711 × 1511

Prime Factorization of 42901

Prime factors of 42901 are 42901. Prime factorization of 42901 in exponential form is:

42901 = 429011

Now multiplying the highest exponent prime factors to calculate the LCM of 42884 and 42901.

LCM(42884,42901) = 22 × 711 × 1511 × 429011
LCM(42884,42901) = 1839766484