What is the Least Common Multiple of 80048 and 80068?

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 80048 and 80068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80048 and 80068, than apply into the LCM equation.

GCF(80048,80068) = 4
LCM(80048,80068) = ( 80048 × 80068) / 4
LCM(80048,80068) = 6409283264 / 4
LCM(80048,80068) = 1602320816

Least Common Multiple (LCM) of 80048 and 80068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80048 and 80068. First we will calculate the prime factors of 80048 and 80068.

Prime Factorization of 80048

Prime Factorization of 80068

Now multiplying the highest exponent prime factors to calculate the LCM of 80048 and 80068.

LCM(80048,80068) = 2⁴ × 5003¹ × 37¹ × 541¹
LCM(80048,80068) = 1602320816