What is the Least Common Multiple of 74878 and 74890?

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 74878 and 74890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74878 and 74890, than apply into the LCM equation.

GCF(74878,74890) = 2
LCM(74878,74890) = ( 74878 × 74890) / 2
LCM(74878,74890) = 5607613420 / 2
LCM(74878,74890) = 2803806710

Least Common Multiple (LCM) of 74878 and 74890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74878 and 74890. First we will calculate the prime factors of 74878 and 74890.

Prime Factorization of 74878

Prime Factorization of 74890

Now multiplying the highest exponent prime factors to calculate the LCM of 74878 and 74890.

LCM(74878,74890) = 2¹ × 29¹ × 1291¹ × 5¹ × 7489¹
LCM(74878,74890) = 2803806710