What is the Least Common Multiple of 74763 and 74781?

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 74763 and 74781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74763 and 74781, than apply into the LCM equation.

GCF(74763,74781) = 9
LCM(74763,74781) = ( 74763 × 74781) / 9
LCM(74763,74781) = 5590851903 / 9
LCM(74763,74781) = 621205767

Least Common Multiple (LCM) of 74763 and 74781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74763 and 74781. First we will calculate the prime factors of 74763 and 74781.

Prime Factorization of 74763

Prime Factorization of 74781

Now multiplying the highest exponent prime factors to calculate the LCM of 74763 and 74781.

LCM(74763,74781) = 3⁴ × 13¹ × 71¹ × 7¹ × 1187¹
LCM(74763,74781) = 621205767