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What is the Least Common Multiple of 29442 and 29457?

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 29442 and 29457 is 289090998.

LCM(29442,29457) = 289090998

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Least Common Multiple of 29442 and 29457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29442 and 29457, than apply into the LCM equation.

GCF(29442,29457) = 3
LCM(29442,29457) = ( 29442 × 29457) / 3
LCM(29442,29457) = 867272994 / 3
LCM(29442,29457) = 289090998

Least Common Multiple (LCM) of 29442 and 29457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29442 and 29457. First we will calculate the prime factors of 29442 and 29457.

Prime Factorization of 29442

Prime factors of 29442 are 2, 3, 7, 701. Prime factorization of 29442 in exponential form is:

29442 = 21 × 31 × 71 × 7011

Prime Factorization of 29457

Prime factors of 29457 are 3, 1091. Prime factorization of 29457 in exponential form is:

29457 = 33 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 29442 and 29457.

LCM(29442,29457) = 21 × 33 × 71 × 7011 × 10911
LCM(29442,29457) = 289090998