What is the Least Common Multiple of 56968 and 56975?

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 56968 and 56975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56968 and 56975, than apply into the LCM equation.

GCF(56968,56975) = 1
LCM(56968,56975) = ( 56968 × 56975) / 1
LCM(56968,56975) = 3245751800 / 1
LCM(56968,56975) = 3245751800

Least Common Multiple (LCM) of 56968 and 56975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56968 and 56975. First we will calculate the prime factors of 56968 and 56975.

Prime Factorization of 56968

Prime Factorization of 56975

Now multiplying the highest exponent prime factors to calculate the LCM of 56968 and 56975.

LCM(56968,56975) = 2³ × 7121¹ × 5² × 43¹ × 53¹
LCM(56968,56975) = 3245751800