What is the Least Common Multiple of 48498 and 48518?

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 48498 and 48518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48498 and 48518, than apply into the LCM equation.

GCF(48498,48518) = 2
LCM(48498,48518) = ( 48498 × 48518) / 2
LCM(48498,48518) = 2353025964 / 2
LCM(48498,48518) = 1176512982

Least Common Multiple (LCM) of 48498 and 48518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48498 and 48518. First we will calculate the prime factors of 48498 and 48518.

Prime Factorization of 48498

Prime Factorization of 48518

Now multiplying the highest exponent prime factors to calculate the LCM of 48498 and 48518.

LCM(48498,48518) = 2¹ × 3¹ × 59¹ × 137¹ × 17¹ × 1427¹
LCM(48498,48518) = 1176512982