What is the Least Common Multiple of 52237 and 52241?

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 52237 and 52241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52237 and 52241, than apply into the LCM equation.

GCF(52237,52241) = 1
LCM(52237,52241) = ( 52237 × 52241) / 1
LCM(52237,52241) = 2728913117 / 1
LCM(52237,52241) = 2728913117

Least Common Multiple (LCM) of 52237 and 52241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52237 and 52241. First we will calculate the prime factors of 52237 and 52241.

Prime Factorization of 52237

Prime Factorization of 52241

Now multiplying the highest exponent prime factors to calculate the LCM of 52237 and 52241.

LCM(52237,52241) = 52237¹ × 7¹ × 17¹ × 439¹
LCM(52237,52241) = 2728913117