What is the Least Common Multiple of 57208 and 57218?

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 57208 and 57218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57208 and 57218, than apply into the LCM equation.

GCF(57208,57218) = 2
LCM(57208,57218) = ( 57208 × 57218) / 2
LCM(57208,57218) = 3273327344 / 2
LCM(57208,57218) = 1636663672

Least Common Multiple (LCM) of 57208 and 57218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57208 and 57218. First we will calculate the prime factors of 57208 and 57218.

Prime Factorization of 57208

Prime Factorization of 57218

Now multiplying the highest exponent prime factors to calculate the LCM of 57208 and 57218.

LCM(57208,57218) = 2³ × 7151¹ × 7¹ × 61¹ × 67¹
LCM(57208,57218) = 1636663672