What is the Least Common Multiple of 74864 and 74870?

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 74864 and 74870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74864 and 74870, than apply into the LCM equation.

GCF(74864,74870) = 2
LCM(74864,74870) = ( 74864 × 74870) / 2
LCM(74864,74870) = 5605067680 / 2
LCM(74864,74870) = 2802533840

Least Common Multiple (LCM) of 74864 and 74870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74864 and 74870. First we will calculate the prime factors of 74864 and 74870.

Prime Factorization of 74864

Prime Factorization of 74870

Now multiplying the highest exponent prime factors to calculate the LCM of 74864 and 74870.

LCM(74864,74870) = 2⁴ × 4679¹ × 5¹ × 7487¹
LCM(74864,74870) = 2802533840