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What is the Least Common Multiple of 29536 and 29545?

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 29536 and 29545 is 872641120.

LCM(29536,29545) = 872641120

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Least Common Multiple of 29536 and 29545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29536 and 29545, than apply into the LCM equation.

GCF(29536,29545) = 1
LCM(29536,29545) = ( 29536 × 29545) / 1
LCM(29536,29545) = 872641120 / 1
LCM(29536,29545) = 872641120

Least Common Multiple (LCM) of 29536 and 29545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29536 and 29545. First we will calculate the prime factors of 29536 and 29545.

Prime Factorization of 29536

Prime factors of 29536 are 2, 13, 71. Prime factorization of 29536 in exponential form is:

29536 = 25 × 131 × 711

Prime Factorization of 29545

Prime factors of 29545 are 5, 19, 311. Prime factorization of 29545 in exponential form is:

29545 = 51 × 191 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 29536 and 29545.

LCM(29536,29545) = 25 × 131 × 711 × 51 × 191 × 3111
LCM(29536,29545) = 872641120