What is the Least Common Multiple of 71778 and 71793?

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 71778 and 71793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71778 and 71793, than apply into the LCM equation.

GCF(71778,71793) = 3
LCM(71778,71793) = ( 71778 × 71793) / 3
LCM(71778,71793) = 5153157954 / 3
LCM(71778,71793) = 1717719318

Least Common Multiple (LCM) of 71778 and 71793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71778 and 71793. First we will calculate the prime factors of 71778 and 71793.

Prime Factorization of 71778

Prime Factorization of 71793

Now multiplying the highest exponent prime factors to calculate the LCM of 71778 and 71793.

LCM(71778,71793) = 2¹ × 3³ × 7¹ × 1709¹ × 2659¹
LCM(71778,71793) = 1717719318