What is the Least Common Multiple of 49546 and 49559?

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 49546 and 49559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49546 and 49559, than apply into the LCM equation.

GCF(49546,49559) = 1
LCM(49546,49559) = ( 49546 × 49559) / 1
LCM(49546,49559) = 2455450214 / 1
LCM(49546,49559) = 2455450214

Least Common Multiple (LCM) of 49546 and 49559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49546 and 49559. First we will calculate the prime factors of 49546 and 49559.

Prime Factorization of 49546

Prime Factorization of 49559

Now multiplying the highest exponent prime factors to calculate the LCM of 49546 and 49559.

LCM(49546,49559) = 2¹ × 7¹ × 3539¹ × 49559¹
LCM(49546,49559) = 2455450214