What is the Least Common Multiple of 53204 and 53218?

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 53204 and 53218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53204 and 53218, than apply into the LCM equation.

GCF(53204,53218) = 2
LCM(53204,53218) = ( 53204 × 53218) / 2
LCM(53204,53218) = 2831410472 / 2
LCM(53204,53218) = 1415705236

Least Common Multiple (LCM) of 53204 and 53218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53204 and 53218. First we will calculate the prime factors of 53204 and 53218.

Prime Factorization of 53204

Prime Factorization of 53218

Now multiplying the highest exponent prime factors to calculate the LCM of 53204 and 53218.

LCM(53204,53218) = 2² × 47¹ × 283¹ × 11¹ × 41¹ × 59¹
LCM(53204,53218) = 1415705236