What is the Least Common Multiple of 35960 and 35969?

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 35960 and 35969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35960 and 35969, than apply into the LCM equation.

GCF(35960,35969) = 1
LCM(35960,35969) = ( 35960 × 35969) / 1
LCM(35960,35969) = 1293445240 / 1
LCM(35960,35969) = 1293445240

Least Common Multiple (LCM) of 35960 and 35969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35960 and 35969. First we will calculate the prime factors of 35960 and 35969.

Prime Factorization of 35960

Prime Factorization of 35969

Now multiplying the highest exponent prime factors to calculate the LCM of 35960 and 35969.

LCM(35960,35969) = 2³ × 5¹ × 29¹ × 31¹ × 35969¹
LCM(35960,35969) = 1293445240