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What is the Least Common Multiple of 67965 and 67979?

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 67965 and 67979 is 4620192735.

LCM(67965,67979) = 4620192735

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Least Common Multiple of 67965 and 67979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67965 and 67979, than apply into the LCM equation.

GCF(67965,67979) = 1
LCM(67965,67979) = ( 67965 × 67979) / 1
LCM(67965,67979) = 4620192735 / 1
LCM(67965,67979) = 4620192735

Least Common Multiple (LCM) of 67965 and 67979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67965 and 67979. First we will calculate the prime factors of 67965 and 67979.

Prime Factorization of 67965

Prime factors of 67965 are 3, 5, 23, 197. Prime factorization of 67965 in exponential form is:

67965 = 31 × 51 × 231 × 1971

Prime Factorization of 67979

Prime factors of 67979 are 67979. Prime factorization of 67979 in exponential form is:

67979 = 679791

Now multiplying the highest exponent prime factors to calculate the LCM of 67965 and 67979.

LCM(67965,67979) = 31 × 51 × 231 × 1971 × 679791
LCM(67965,67979) = 4620192735