What is the Least Common Multiple of 10040 and 10048?

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 10040 and 10048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10040 and 10048, than apply into the LCM equation.

GCF(10040,10048) = 8
LCM(10040,10048) = ( 10040 × 10048) / 8
LCM(10040,10048) = 100881920 / 8
LCM(10040,10048) = 12610240

Least Common Multiple (LCM) of 10040 and 10048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10040 and 10048. First we will calculate the prime factors of 10040 and 10048.

Prime Factorization of 10040

Prime Factorization of 10048

Now multiplying the highest exponent prime factors to calculate the LCM of 10040 and 10048.

LCM(10040,10048) = 2⁶ × 5¹ × 251¹ × 157¹
LCM(10040,10048) = 12610240