What is the Least Common Multiple of 49840 and 49855?

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 49840 and 49855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49840 and 49855, than apply into the LCM equation.

GCF(49840,49855) = 5
LCM(49840,49855) = ( 49840 × 49855) / 5
LCM(49840,49855) = 2484773200 / 5
LCM(49840,49855) = 496954640

Least Common Multiple (LCM) of 49840 and 49855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49840 and 49855. First we will calculate the prime factors of 49840 and 49855.

Prime Factorization of 49840

Prime Factorization of 49855

Now multiplying the highest exponent prime factors to calculate the LCM of 49840 and 49855.

LCM(49840,49855) = 2⁴ × 5¹ × 7¹ × 89¹ × 13² × 59¹
LCM(49840,49855) = 496954640