What is the Least Common Multiple of 79860 and 79868?

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 79860 and 79868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79860 and 79868, than apply into the LCM equation.

GCF(79860,79868) = 4
LCM(79860,79868) = ( 79860 × 79868) / 4
LCM(79860,79868) = 6378258480 / 4
LCM(79860,79868) = 1594564620

Least Common Multiple (LCM) of 79860 and 79868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79860 and 79868. First we will calculate the prime factors of 79860 and 79868.

Prime Factorization of 79860

Prime Factorization of 79868

Now multiplying the highest exponent prime factors to calculate the LCM of 79860 and 79868.

LCM(79860,79868) = 2² × 3¹ × 5¹ × 11³ × 41¹ × 487¹
LCM(79860,79868) = 1594564620