What is the Least Common Multiple of 68484 and 68503?

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 68484 and 68503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68484 and 68503, than apply into the LCM equation.

GCF(68484,68503) = 1
LCM(68484,68503) = ( 68484 × 68503) / 1
LCM(68484,68503) = 4691359452 / 1
LCM(68484,68503) = 4691359452

Least Common Multiple (LCM) of 68484 and 68503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68484 and 68503. First we will calculate the prime factors of 68484 and 68503.

Prime Factorization of 68484

Prime Factorization of 68503

Now multiplying the highest exponent prime factors to calculate the LCM of 68484 and 68503.

LCM(68484,68503) = 2² × 3¹ × 13¹ × 439¹ × 61¹ × 1123¹
LCM(68484,68503) = 4691359452