What is the Least Common Multiple of 48538 and 48546?

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 48538 and 48546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48538 and 48546, than apply into the LCM equation.

GCF(48538,48546) = 2
LCM(48538,48546) = ( 48538 × 48546) / 2
LCM(48538,48546) = 2356325748 / 2
LCM(48538,48546) = 1178162874

Least Common Multiple (LCM) of 48538 and 48546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48538 and 48546. First we will calculate the prime factors of 48538 and 48546.

Prime Factorization of 48538

Prime Factorization of 48546

Now multiplying the highest exponent prime factors to calculate the LCM of 48538 and 48546.

LCM(48538,48546) = 2¹ × 7¹ × 3467¹ × 3³ × 29¹ × 31¹
LCM(48538,48546) = 1178162874