What is the Least Common Multiple of 79860 and 79869?

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 79869 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 79869, than apply into the LCM equation.

GCF(79860,79869) = 3
LCM(79860,79869) = ( 79860 × 79869) / 3
LCM(79860,79869) = 6378338340 / 3
LCM(79860,79869) = 2126112780

Least Common Multiple (LCM) of 79860 and 79869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79860 and 79869. First we will calculate the prime factors of 79860 and 79869.

Prime Factorization of 79860

Prime Factorization of 79869

Now multiplying the highest exponent prime factors to calculate the LCM of 79860 and 79869.

LCM(79860,79869) = 2² × 3¹ × 5¹ × 11³ × 79¹ × 337¹
LCM(79860,79869) = 2126112780