What is the Least Common Multiple of 57416 and 57436?

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 57416 and 57436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57416 and 57436, than apply into the LCM equation.

GCF(57416,57436) = 4
LCM(57416,57436) = ( 57416 × 57436) / 4
LCM(57416,57436) = 3297745376 / 4
LCM(57416,57436) = 824436344

Least Common Multiple (LCM) of 57416 and 57436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57416 and 57436. First we will calculate the prime factors of 57416 and 57436.

Prime Factorization of 57416

Prime Factorization of 57436

Now multiplying the highest exponent prime factors to calculate the LCM of 57416 and 57436.

LCM(57416,57436) = 2³ × 7177¹ × 83¹ × 173¹
LCM(57416,57436) = 824436344