What is the Least Common Multiple of 74788 and 74806?

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 74788 and 74806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74788 and 74806, than apply into the LCM equation.

GCF(74788,74806) = 2
LCM(74788,74806) = ( 74788 × 74806) / 2
LCM(74788,74806) = 5594591128 / 2
LCM(74788,74806) = 2797295564

Least Common Multiple (LCM) of 74788 and 74806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74788 and 74806. First we will calculate the prime factors of 74788 and 74806.

Prime Factorization of 74788

Prime Factorization of 74806

Now multiplying the highest exponent prime factors to calculate the LCM of 74788 and 74806.

LCM(74788,74806) = 2² × 7¹ × 2671¹ × 113¹ × 331¹
LCM(74788,74806) = 2797295564