What is the Least Common Multiple of 57112 and 57131?

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 of 57112 and 57131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57112 and 57131, than apply into the LCM equation.

GCF(57112,57131) = 1
LCM(57112,57131) = ( 57112 × 57131) / 1
LCM(57112,57131) = 3262865672 / 1
LCM(57112,57131) = 3262865672

Least Common Multiple (LCM) of 57112 and 57131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57112 and 57131. First we will calculate the prime factors of 57112 and 57131.

Prime Factorization of 57112

Prime Factorization of 57131

Now multiplying the highest exponent prime factors to calculate the LCM of 57112 and 57131.

LCM(57112,57131) = 2³ × 11² × 59¹ × 57131¹
LCM(57112,57131) = 3262865672