What is the Least Common Multiple of 51590 and 51601?

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 51590 and 51601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51590 and 51601, than apply into the LCM equation.

GCF(51590,51601) = 11
LCM(51590,51601) = ( 51590 × 51601) / 11
LCM(51590,51601) = 2662095590 / 11
LCM(51590,51601) = 242008690

Least Common Multiple (LCM) of 51590 and 51601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51590 and 51601. First we will calculate the prime factors of 51590 and 51601.

Prime Factorization of 51590

Prime Factorization of 51601

Now multiplying the highest exponent prime factors to calculate the LCM of 51590 and 51601.

LCM(51590,51601) = 2¹ × 5¹ × 7¹ × 11¹ × 67¹ × 4691¹
LCM(51590,51601) = 242008690