What is the Least Common Multiple of 48202 and 48221?

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 48202 and 48221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48202 and 48221, than apply into the LCM equation.

GCF(48202,48221) = 1
LCM(48202,48221) = ( 48202 × 48221) / 1
LCM(48202,48221) = 2324348642 / 1
LCM(48202,48221) = 2324348642

Least Common Multiple (LCM) of 48202 and 48221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48202 and 48221. First we will calculate the prime factors of 48202 and 48221.

Prime Factorization of 48202

Prime Factorization of 48221

Now multiplying the highest exponent prime factors to calculate the LCM of 48202 and 48221.

LCM(48202,48221) = 2¹ × 7¹ × 11¹ × 313¹ × 48221¹
LCM(48202,48221) = 2324348642