What is the Least Common Multiple of 8028 and 8048?

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 8028 and 8048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8028 and 8048, than apply into the LCM equation.

GCF(8028,8048) = 4
LCM(8028,8048) = ( 8028 × 8048) / 4
LCM(8028,8048) = 64609344 / 4
LCM(8028,8048) = 16152336

Least Common Multiple (LCM) of 8028 and 8048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8028 and 8048. First we will calculate the prime factors of 8028 and 8048.

Prime Factorization of 8028

Prime Factorization of 8048

Now multiplying the highest exponent prime factors to calculate the LCM of 8028 and 8048.

LCM(8028,8048) = 2⁴ × 3² × 223¹ × 503¹
LCM(8028,8048) = 16152336