What is the Least Common Multiple of 35912 and 35932?

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 35912 and 35932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35912 and 35932, than apply into the LCM equation.

GCF(35912,35932) = 4
LCM(35912,35932) = ( 35912 × 35932) / 4
LCM(35912,35932) = 1290389984 / 4
LCM(35912,35932) = 322597496

Least Common Multiple (LCM) of 35912 and 35932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35912 and 35932. First we will calculate the prime factors of 35912 and 35932.

Prime Factorization of 35912

Prime Factorization of 35932

Now multiplying the highest exponent prime factors to calculate the LCM of 35912 and 35932.

LCM(35912,35932) = 2³ × 67² × 13¹ × 691¹
LCM(35912,35932) = 322597496