What is the Least Common Multiple of 80048 and 80057?

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 80057 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 80057, than apply into the LCM equation.

GCF(80048,80057) = 1
LCM(80048,80057) = ( 80048 × 80057) / 1
LCM(80048,80057) = 6408402736 / 1
LCM(80048,80057) = 6408402736

Least Common Multiple (LCM) of 80048 and 80057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80048 and 80057. First we will calculate the prime factors of 80048 and 80057.

Prime Factorization of 80048

Prime Factorization of 80057

Now multiplying the highest exponent prime factors to calculate the LCM of 80048 and 80057.

LCM(80048,80057) = 2⁴ × 5003¹ × 223¹ × 359¹
LCM(80048,80057) = 6408402736