What is the Least Common Multiple of 79808 and 79825?

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 79808 and 79825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79808 and 79825, than apply into the LCM equation.

GCF(79808,79825) = 1
LCM(79808,79825) = ( 79808 × 79825) / 1
LCM(79808,79825) = 6370673600 / 1
LCM(79808,79825) = 6370673600

Least Common Multiple (LCM) of 79808 and 79825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79808 and 79825. First we will calculate the prime factors of 79808 and 79825.

Prime Factorization of 79808

Prime Factorization of 79825

Now multiplying the highest exponent prime factors to calculate the LCM of 79808 and 79825.

LCM(79808,79825) = 2⁶ × 29¹ × 43¹ × 5² × 31¹ × 103¹
LCM(79808,79825) = 6370673600