What is the Least Common Multiple of 48044 and 48053?

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 48044 and 48053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48044 and 48053, than apply into the LCM equation.

GCF(48044,48053) = 1
LCM(48044,48053) = ( 48044 × 48053) / 1
LCM(48044,48053) = 2308658332 / 1
LCM(48044,48053) = 2308658332

Least Common Multiple (LCM) of 48044 and 48053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48044 and 48053. First we will calculate the prime factors of 48044 and 48053.

Prime Factorization of 48044

Prime Factorization of 48053

Now multiplying the highest exponent prime factors to calculate the LCM of 48044 and 48053.

LCM(48044,48053) = 2² × 12011¹ × 29¹ × 1657¹
LCM(48044,48053) = 2308658332