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What is the Least Common Multiple of 29946 and 29965?

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 29946 and 29965 is 897331890.

LCM(29946,29965) = 897331890

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Least Common Multiple of 29946 and 29965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29946 and 29965, than apply into the LCM equation.

GCF(29946,29965) = 1
LCM(29946,29965) = ( 29946 × 29965) / 1
LCM(29946,29965) = 897331890 / 1
LCM(29946,29965) = 897331890

Least Common Multiple (LCM) of 29946 and 29965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29946 and 29965. First we will calculate the prime factors of 29946 and 29965.

Prime Factorization of 29946

Prime factors of 29946 are 2, 3, 7, 23, 31. Prime factorization of 29946 in exponential form is:

29946 = 21 × 31 × 71 × 231 × 311

Prime Factorization of 29965

Prime factors of 29965 are 5, 13, 461. Prime factorization of 29965 in exponential form is:

29965 = 51 × 131 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 29946 and 29965.

LCM(29946,29965) = 21 × 31 × 71 × 231 × 311 × 51 × 131 × 4611
LCM(29946,29965) = 897331890