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What is the Least Common Multiple of 29653 and 29670?

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 29653 and 29670 is 879804510.

LCM(29653,29670) = 879804510

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Least Common Multiple of 29653 and 29670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29653 and 29670, than apply into the LCM equation.

GCF(29653,29670) = 1
LCM(29653,29670) = ( 29653 × 29670) / 1
LCM(29653,29670) = 879804510 / 1
LCM(29653,29670) = 879804510

Least Common Multiple (LCM) of 29653 and 29670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29653 and 29670. First we will calculate the prime factors of 29653 and 29670.

Prime Factorization of 29653

Prime factors of 29653 are 13, 2281. Prime factorization of 29653 in exponential form is:

29653 = 131 × 22811

Prime Factorization of 29670

Prime factors of 29670 are 2, 3, 5, 23, 43. Prime factorization of 29670 in exponential form is:

29670 = 21 × 31 × 51 × 231 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 29653 and 29670.

LCM(29653,29670) = 131 × 22811 × 21 × 31 × 51 × 231 × 431
LCM(29653,29670) = 879804510