GCF and LCM Calculator Logo

What is the Least Common Multiple of 57142 and 57159?

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 57142 and 57159 is 3266179578.

LCM(57142,57159) = 3266179578

LCM Calculator and
and

Least Common Multiple of 57142 and 57159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57142 and 57159, than apply into the LCM equation.

GCF(57142,57159) = 1
LCM(57142,57159) = ( 57142 × 57159) / 1
LCM(57142,57159) = 3266179578 / 1
LCM(57142,57159) = 3266179578

Least Common Multiple (LCM) of 57142 and 57159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57142 and 57159. First we will calculate the prime factors of 57142 and 57159.

Prime Factorization of 57142

Prime factors of 57142 are 2, 28571. Prime factorization of 57142 in exponential form is:

57142 = 21 × 285711

Prime Factorization of 57159

Prime factors of 57159 are 3, 29, 73. Prime factorization of 57159 in exponential form is:

57159 = 33 × 291 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 57142 and 57159.

LCM(57142,57159) = 21 × 285711 × 33 × 291 × 731
LCM(57142,57159) = 3266179578