What is the Least Common Multiple of 48604 and 48614?

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 48604 and 48614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48604 and 48614, than apply into the LCM equation.

GCF(48604,48614) = 2
LCM(48604,48614) = ( 48604 × 48614) / 2
LCM(48604,48614) = 2362834856 / 2
LCM(48604,48614) = 1181417428

Least Common Multiple (LCM) of 48604 and 48614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48604 and 48614. First we will calculate the prime factors of 48604 and 48614.

Prime Factorization of 48604

Prime Factorization of 48614

Now multiplying the highest exponent prime factors to calculate the LCM of 48604 and 48614.

LCM(48604,48614) = 2² × 29¹ × 419¹ × 109¹ × 223¹
LCM(48604,48614) = 1181417428