What is the Least Common Multiple of 48441 and 48458?

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 48441 and 48458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48441 and 48458, than apply into the LCM equation.

GCF(48441,48458) = 1
LCM(48441,48458) = ( 48441 × 48458) / 1
LCM(48441,48458) = 2347353978 / 1
LCM(48441,48458) = 2347353978

Least Common Multiple (LCM) of 48441 and 48458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48441 and 48458. First we will calculate the prime factors of 48441 and 48458.

Prime Factorization of 48441

Prime Factorization of 48458

Now multiplying the highest exponent prime factors to calculate the LCM of 48441 and 48458.

LCM(48441,48458) = 3¹ × 67¹ × 241¹ × 2¹ × 24229¹
LCM(48441,48458) = 2347353978