What is the Least Common Multiple of 49855 and 49859?

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 49855 and 49859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49855 and 49859, than apply into the LCM equation.

GCF(49855,49859) = 1
LCM(49855,49859) = ( 49855 × 49859) / 1
LCM(49855,49859) = 2485720445 / 1
LCM(49855,49859) = 2485720445

Least Common Multiple (LCM) of 49855 and 49859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49855 and 49859. First we will calculate the prime factors of 49855 and 49859.

Prime Factorization of 49855

Prime Factorization of 49859

Now multiplying the highest exponent prime factors to calculate the LCM of 49855 and 49859.

LCM(49855,49859) = 5¹ × 13² × 59¹ × 73¹ × 683¹
LCM(49855,49859) = 2485720445