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What is the Least Common Multiple of 29665 and 29679?

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 29665 and 29679 is 880427535.

LCM(29665,29679) = 880427535

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Least Common Multiple of 29665 and 29679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29665 and 29679, than apply into the LCM equation.

GCF(29665,29679) = 1
LCM(29665,29679) = ( 29665 × 29679) / 1
LCM(29665,29679) = 880427535 / 1
LCM(29665,29679) = 880427535

Least Common Multiple (LCM) of 29665 and 29679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29665 and 29679. First we will calculate the prime factors of 29665 and 29679.

Prime Factorization of 29665

Prime factors of 29665 are 5, 17, 349. Prime factorization of 29665 in exponential form is:

29665 = 51 × 171 × 3491

Prime Factorization of 29679

Prime factors of 29679 are 3, 13, 761. Prime factorization of 29679 in exponential form is:

29679 = 31 × 131 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 29665 and 29679.

LCM(29665,29679) = 51 × 171 × 3491 × 31 × 131 × 7611
LCM(29665,29679) = 880427535