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What is the Least Common Multiple of 73961 and 73979?

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 73961 and 73979 is 5471560819.

LCM(73961,73979) = 5471560819

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Least Common Multiple of 73961 and 73979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73961 and 73979, than apply into the LCM equation.

GCF(73961,73979) = 1
LCM(73961,73979) = ( 73961 × 73979) / 1
LCM(73961,73979) = 5471560819 / 1
LCM(73961,73979) = 5471560819

Least Common Multiple (LCM) of 73961 and 73979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73961 and 73979. First we will calculate the prime factors of 73961 and 73979.

Prime Factorization of 73961

Prime factors of 73961 are 73961. Prime factorization of 73961 in exponential form is:

73961 = 739611

Prime Factorization of 73979

Prime factors of 73979 are 29, 2551. Prime factorization of 73979 in exponential form is:

73979 = 291 × 25511

Now multiplying the highest exponent prime factors to calculate the LCM of 73961 and 73979.

LCM(73961,73979) = 739611 × 291 × 25511
LCM(73961,73979) = 5471560819