What is the Least Common Multiple of 48224 and 48232?

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 48224 and 48232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48224 and 48232, than apply into the LCM equation.

GCF(48224,48232) = 8
LCM(48224,48232) = ( 48224 × 48232) / 8
LCM(48224,48232) = 2325939968 / 8
LCM(48224,48232) = 290742496

Least Common Multiple (LCM) of 48224 and 48232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48224 and 48232. First we will calculate the prime factors of 48224 and 48232.

Prime Factorization of 48224

Prime Factorization of 48232

Now multiplying the highest exponent prime factors to calculate the LCM of 48224 and 48232.

LCM(48224,48232) = 2⁵ × 11¹ × 137¹ × 6029¹
LCM(48224,48232) = 290742496