What is the Least Common Multiple of 48538 and 48542?

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 48542 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 48542, than apply into the LCM equation.

GCF(48538,48542) = 2
LCM(48538,48542) = ( 48538 × 48542) / 2
LCM(48538,48542) = 2356131596 / 2
LCM(48538,48542) = 1178065798

Least Common Multiple (LCM) of 48538 and 48542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48538 and 48542. First we will calculate the prime factors of 48538 and 48542.

Prime Factorization of 48538

Prime Factorization of 48542

Now multiplying the highest exponent prime factors to calculate the LCM of 48538 and 48542.

LCM(48538,48542) = 2¹ × 7¹ × 3467¹ × 13¹ × 1867¹
LCM(48538,48542) = 1178065798