GCF and LCM Calculator Logo

What is the Least Common Multiple of 57094 and 57112?

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 57094 and 57112 is 1630376264.

LCM(57094,57112) = 1630376264

LCM Calculator and
and

Least Common Multiple of 57094 and 57112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57094 and 57112, than apply into the LCM equation.

GCF(57094,57112) = 2
LCM(57094,57112) = ( 57094 × 57112) / 2
LCM(57094,57112) = 3260752528 / 2
LCM(57094,57112) = 1630376264

Least Common Multiple (LCM) of 57094 and 57112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57094 and 57112. First we will calculate the prime factors of 57094 and 57112.

Prime Factorization of 57094

Prime factors of 57094 are 2, 28547. Prime factorization of 57094 in exponential form is:

57094 = 21 × 285471

Prime Factorization of 57112

Prime factors of 57112 are 2, 11, 59. Prime factorization of 57112 in exponential form is:

57112 = 23 × 112 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 57094 and 57112.

LCM(57094,57112) = 23 × 285471 × 112 × 591
LCM(57094,57112) = 1630376264