What is the Least Common Multiple of 79810 and 79824?

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 79810 and 79824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79810 and 79824, than apply into the LCM equation.

GCF(79810,79824) = 2
LCM(79810,79824) = ( 79810 × 79824) / 2
LCM(79810,79824) = 6370753440 / 2
LCM(79810,79824) = 3185376720

Least Common Multiple (LCM) of 79810 and 79824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79810 and 79824. First we will calculate the prime factors of 79810 and 79824.

Prime Factorization of 79810

Prime Factorization of 79824

Now multiplying the highest exponent prime factors to calculate the LCM of 79810 and 79824.

LCM(79810,79824) = 2⁴ × 5¹ × 23¹ × 347¹ × 3¹ × 1663¹
LCM(79810,79824) = 3185376720