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What is the Least Common Multiple of 48968 and 48975?

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 (LCM) of 48968 and 48975 is 2398207800.

LCM(48968,48975) = 2398207800

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Least Common Multiple of 48968 and 48975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48968 and 48975, than apply into the LCM equation.

GCF(48968,48975) = 1
LCM(48968,48975) = ( 48968 × 48975) / 1
LCM(48968,48975) = 2398207800 / 1
LCM(48968,48975) = 2398207800

Least Common Multiple (LCM) of 48968 and 48975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48968 and 48975. First we will calculate the prime factors of 48968 and 48975.

Prime Factorization of 48968

Prime factors of 48968 are 2, 6121. Prime factorization of 48968 in exponential form is:

48968 = 23 × 61211

Prime Factorization of 48975

Prime factors of 48975 are 3, 5, 653. Prime factorization of 48975 in exponential form is:

48975 = 31 × 52 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 48968 and 48975.

LCM(48968,48975) = 23 × 61211 × 31 × 52 × 6531
LCM(48968,48975) = 2398207800