What is the Least Common Multiple of 31760 and 31771?

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 31760 and 31771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31760 and 31771, than apply into the LCM equation.

GCF(31760,31771) = 1
LCM(31760,31771) = ( 31760 × 31771) / 1
LCM(31760,31771) = 1009046960 / 1
LCM(31760,31771) = 1009046960

Least Common Multiple (LCM) of 31760 and 31771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31760 and 31771. First we will calculate the prime factors of 31760 and 31771.

Prime Factorization of 31760

Prime Factorization of 31771

Now multiplying the highest exponent prime factors to calculate the LCM of 31760 and 31771.

LCM(31760,31771) = 2⁴ × 5¹ × 397¹ × 31771¹
LCM(31760,31771) = 1009046960