What is the Least Common Multiple of 35970 and 35975?

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 35970 and 35975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35970 and 35975, than apply into the LCM equation.

GCF(35970,35975) = 5
LCM(35970,35975) = ( 35970 × 35975) / 5
LCM(35970,35975) = 1294020750 / 5
LCM(35970,35975) = 258804150

Least Common Multiple (LCM) of 35970 and 35975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35970 and 35975. First we will calculate the prime factors of 35970 and 35975.

Prime Factorization of 35970

Prime Factorization of 35975

Now multiplying the highest exponent prime factors to calculate the LCM of 35970 and 35975.

LCM(35970,35975) = 2¹ × 3¹ × 5² × 11¹ × 109¹ × 1439¹
LCM(35970,35975) = 258804150