What is the Least Common Multiple of 31960 and 31969?

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 31960 and 31969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31960 and 31969, than apply into the LCM equation.

GCF(31960,31969) = 1
LCM(31960,31969) = ( 31960 × 31969) / 1
LCM(31960,31969) = 1021729240 / 1
LCM(31960,31969) = 1021729240

Least Common Multiple (LCM) of 31960 and 31969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31960 and 31969. First we will calculate the prime factors of 31960 and 31969.

Prime Factorization of 31960

Prime Factorization of 31969

Now multiplying the highest exponent prime factors to calculate the LCM of 31960 and 31969.

LCM(31960,31969) = 2³ × 5¹ × 17¹ × 47¹ × 7¹ × 4567¹
LCM(31960,31969) = 1021729240