What is the Least Common Multiple of 48238 and 48247?

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 48238 and 48247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48238 and 48247, than apply into the LCM equation.

GCF(48238,48247) = 1
LCM(48238,48247) = ( 48238 × 48247) / 1
LCM(48238,48247) = 2327338786 / 1
LCM(48238,48247) = 2327338786

Least Common Multiple (LCM) of 48238 and 48247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48238 and 48247. First we will calculate the prime factors of 48238 and 48247.

Prime Factorization of 48238

Prime Factorization of 48247

Now multiplying the highest exponent prime factors to calculate the LCM of 48238 and 48247.

LCM(48238,48247) = 2¹ × 89¹ × 271¹ × 48247¹
LCM(48238,48247) = 2327338786