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What is the Least Common Multiple of 30967 and 30975?

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 30967 and 30975 is 959202825.

LCM(30967,30975) = 959202825

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Least Common Multiple of 30967 and 30975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30967 and 30975, than apply into the LCM equation.

GCF(30967,30975) = 1
LCM(30967,30975) = ( 30967 × 30975) / 1
LCM(30967,30975) = 959202825 / 1
LCM(30967,30975) = 959202825

Least Common Multiple (LCM) of 30967 and 30975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30967 and 30975. First we will calculate the prime factors of 30967 and 30975.

Prime Factorization of 30967

Prime factors of 30967 are 173, 179. Prime factorization of 30967 in exponential form is:

30967 = 1731 × 1791

Prime Factorization of 30975

Prime factors of 30975 are 3, 5, 7, 59. Prime factorization of 30975 in exponential form is:

30975 = 31 × 52 × 71 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 30967 and 30975.

LCM(30967,30975) = 1731 × 1791 × 31 × 52 × 71 × 591
LCM(30967,30975) = 959202825