GCF and LCM Calculator Logo

What is the Least Common Multiple of 57212 and 57222?

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 57212 and 57222 is 1636892532.

LCM(57212,57222) = 1636892532

LCM Calculator and
and

Least Common Multiple of 57212 and 57222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57212 and 57222, than apply into the LCM equation.

GCF(57212,57222) = 2
LCM(57212,57222) = ( 57212 × 57222) / 2
LCM(57212,57222) = 3273785064 / 2
LCM(57212,57222) = 1636892532

Least Common Multiple (LCM) of 57212 and 57222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57212 and 57222. First we will calculate the prime factors of 57212 and 57222.

Prime Factorization of 57212

Prime factors of 57212 are 2, 14303. Prime factorization of 57212 in exponential form is:

57212 = 22 × 143031

Prime Factorization of 57222

Prime factors of 57222 are 2, 3, 11, 17. Prime factorization of 57222 in exponential form is:

57222 = 21 × 32 × 111 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 57212 and 57222.

LCM(57212,57222) = 22 × 143031 × 32 × 111 × 172
LCM(57212,57222) = 1636892532