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What is the Least Common Multiple of 29742 and 29762?

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 29742 and 29762 is 442590702.

LCM(29742,29762) = 442590702

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Least Common Multiple of 29742 and 29762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29742 and 29762, than apply into the LCM equation.

GCF(29742,29762) = 2
LCM(29742,29762) = ( 29742 × 29762) / 2
LCM(29742,29762) = 885181404 / 2
LCM(29742,29762) = 442590702

Least Common Multiple (LCM) of 29742 and 29762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29742 and 29762. First we will calculate the prime factors of 29742 and 29762.

Prime Factorization of 29742

Prime factors of 29742 are 2, 3, 4957. Prime factorization of 29742 in exponential form is:

29742 = 21 × 31 × 49571

Prime Factorization of 29762

Prime factors of 29762 are 2, 23, 647. Prime factorization of 29762 in exponential form is:

29762 = 21 × 231 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 29742 and 29762.

LCM(29742,29762) = 21 × 31 × 49571 × 231 × 6471
LCM(29742,29762) = 442590702