What is the Least Common Multiple of 30762 and 30771?

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 30762 and 30771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30762 and 30771, than apply into the LCM equation.

GCF(30762,30771) = 9
LCM(30762,30771) = ( 30762 × 30771) / 9
LCM(30762,30771) = 946577502 / 9
LCM(30762,30771) = 105175278

Least Common Multiple (LCM) of 30762 and 30771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30762 and 30771. First we will calculate the prime factors of 30762 and 30771.

Prime Factorization of 30762

Prime Factorization of 30771

Now multiplying the highest exponent prime factors to calculate the LCM of 30762 and 30771.

LCM(30762,30771) = 2¹ × 3² × 1709¹ × 13¹ × 263¹
LCM(30762,30771) = 105175278