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What is the Least Common Multiple of 68957 and 68975?

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 68957 and 68975 is 4756309075.

LCM(68957,68975) = 4756309075

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Least Common Multiple of 68957 and 68975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68957 and 68975, than apply into the LCM equation.

GCF(68957,68975) = 1
LCM(68957,68975) = ( 68957 × 68975) / 1
LCM(68957,68975) = 4756309075 / 1
LCM(68957,68975) = 4756309075

Least Common Multiple (LCM) of 68957 and 68975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68957 and 68975. First we will calculate the prime factors of 68957 and 68975.

Prime Factorization of 68957

Prime factors of 68957 are 7, 9851. Prime factorization of 68957 in exponential form is:

68957 = 71 × 98511

Prime Factorization of 68975

Prime factors of 68975 are 5, 31, 89. Prime factorization of 68975 in exponential form is:

68975 = 52 × 311 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 68957 and 68975.

LCM(68957,68975) = 71 × 98511 × 52 × 311 × 891
LCM(68957,68975) = 4756309075