GCF and LCM Calculator Logo

What is the Least Common Multiple of 57236 and 57244?

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 57236 and 57244 is 819104396.

LCM(57236,57244) = 819104396

LCM Calculator and
and

Least Common Multiple of 57236 and 57244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57236 and 57244, than apply into the LCM equation.

GCF(57236,57244) = 4
LCM(57236,57244) = ( 57236 × 57244) / 4
LCM(57236,57244) = 3276417584 / 4
LCM(57236,57244) = 819104396

Least Common Multiple (LCM) of 57236 and 57244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57236 and 57244. First we will calculate the prime factors of 57236 and 57244.

Prime Factorization of 57236

Prime factors of 57236 are 2, 41, 349. Prime factorization of 57236 in exponential form is:

57236 = 22 × 411 × 3491

Prime Factorization of 57244

Prime factors of 57244 are 2, 11, 1301. Prime factorization of 57244 in exponential form is:

57244 = 22 × 111 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 57236 and 57244.

LCM(57236,57244) = 22 × 411 × 3491 × 111 × 13011
LCM(57236,57244) = 819104396