What is the Least Common Multiple of 74871 and 74879?

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 74871 and 74879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74871 and 74879, than apply into the LCM equation.

GCF(74871,74879) = 1
LCM(74871,74879) = ( 74871 × 74879) / 1
LCM(74871,74879) = 5606265609 / 1
LCM(74871,74879) = 5606265609

Least Common Multiple (LCM) of 74871 and 74879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74871 and 74879. First we will calculate the prime factors of 74871 and 74879.

Prime Factorization of 74871

Prime Factorization of 74879

Now multiplying the highest exponent prime factors to calculate the LCM of 74871 and 74879.

LCM(74871,74879) = 3³ × 47¹ × 59¹ × 7¹ × 19¹ × 563¹
LCM(74871,74879) = 5606265609