What is the Least Common Multiple of 97784 and 97794?

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 97784 and 97794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97784 and 97794, than apply into the LCM equation.

GCF(97784,97794) = 2
LCM(97784,97794) = ( 97784 × 97794) / 2
LCM(97784,97794) = 9562688496 / 2
LCM(97784,97794) = 4781344248

Least Common Multiple (LCM) of 97784 and 97794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97784 and 97794. First we will calculate the prime factors of 97784 and 97794.

Prime Factorization of 97784

Prime Factorization of 97794

Now multiplying the highest exponent prime factors to calculate the LCM of 97784 and 97794.

LCM(97784,97794) = 2³ × 17¹ × 719¹ × 3³ × 1811¹
LCM(97784,97794) = 4781344248