What is the Least Common Multiple of 74776 and 74794?

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 74776 and 74794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74776 and 74794, than apply into the LCM equation.

GCF(74776,74794) = 2
LCM(74776,74794) = ( 74776 × 74794) / 2
LCM(74776,74794) = 5592796144 / 2
LCM(74776,74794) = 2796398072

Least Common Multiple (LCM) of 74776 and 74794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74776 and 74794. First we will calculate the prime factors of 74776 and 74794.

Prime Factorization of 74776

Prime Factorization of 74794

Now multiplying the highest exponent prime factors to calculate the LCM of 74776 and 74794.

LCM(74776,74794) = 2³ × 13¹ × 719¹ × 37397¹
LCM(74776,74794) = 2796398072