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What is the Least Common Multiple of 29764 and 29768?

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 29764 and 29768 is 221503688.

LCM(29764,29768) = 221503688

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Least Common Multiple of 29764 and 29768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29764 and 29768, than apply into the LCM equation.

GCF(29764,29768) = 4
LCM(29764,29768) = ( 29764 × 29768) / 4
LCM(29764,29768) = 886014752 / 4
LCM(29764,29768) = 221503688

Least Common Multiple (LCM) of 29764 and 29768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29764 and 29768. First we will calculate the prime factors of 29764 and 29768.

Prime Factorization of 29764

Prime factors of 29764 are 2, 7, 1063. Prime factorization of 29764 in exponential form is:

29764 = 22 × 71 × 10631

Prime Factorization of 29768

Prime factors of 29768 are 2, 61. Prime factorization of 29768 in exponential form is:

29768 = 23 × 612

Now multiplying the highest exponent prime factors to calculate the LCM of 29764 and 29768.

LCM(29764,29768) = 23 × 71 × 10631 × 612
LCM(29764,29768) = 221503688