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What is the Least Common Multiple of 67957 and 67975?

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 67957 and 67975 is 4619377075.

LCM(67957,67975) = 4619377075

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Least Common Multiple of 67957 and 67975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67957 and 67975, than apply into the LCM equation.

GCF(67957,67975) = 1
LCM(67957,67975) = ( 67957 × 67975) / 1
LCM(67957,67975) = 4619377075 / 1
LCM(67957,67975) = 4619377075

Least Common Multiple (LCM) of 67957 and 67975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67957 and 67975. First we will calculate the prime factors of 67957 and 67975.

Prime Factorization of 67957

Prime factors of 67957 are 67957. Prime factorization of 67957 in exponential form is:

67957 = 679571

Prime Factorization of 67975

Prime factors of 67975 are 5, 2719. Prime factorization of 67975 in exponential form is:

67975 = 52 × 27191

Now multiplying the highest exponent prime factors to calculate the LCM of 67957 and 67975.

LCM(67957,67975) = 679571 × 52 × 27191
LCM(67957,67975) = 4619377075