What is the Least Common Multiple of 35935 and 35955?

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 35935 and 35955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35935 and 35955, than apply into the LCM equation.

GCF(35935,35955) = 5
LCM(35935,35955) = ( 35935 × 35955) / 5
LCM(35935,35955) = 1292042925 / 5
LCM(35935,35955) = 258408585

Least Common Multiple (LCM) of 35935 and 35955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35935 and 35955. First we will calculate the prime factors of 35935 and 35955.

Prime Factorization of 35935

Prime Factorization of 35955

Now multiplying the highest exponent prime factors to calculate the LCM of 35935 and 35955.

LCM(35935,35955) = 5¹ × 7187¹ × 3² × 17¹ × 47¹
LCM(35935,35955) = 258408585