What is the Least Common Multiple of 48541 and 48554?

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 48541 and 48554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48541 and 48554, than apply into the LCM equation.

GCF(48541,48554) = 1
LCM(48541,48554) = ( 48541 × 48554) / 1
LCM(48541,48554) = 2356859714 / 1
LCM(48541,48554) = 2356859714

Least Common Multiple (LCM) of 48541 and 48554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48541 and 48554. First we will calculate the prime factors of 48541 and 48554.

Prime Factorization of 48541

Prime Factorization of 48554

Now multiplying the highest exponent prime factors to calculate the LCM of 48541 and 48554.

LCM(48541,48554) = 48541¹ × 2¹ × 11¹ × 2207¹
LCM(48541,48554) = 2356859714