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What is the Least Common Multiple of 38947 and 38962?

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 38947 and 38962 is 1517453014.

LCM(38947,38962) = 1517453014

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Least Common Multiple of 38947 and 38962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38947 and 38962, than apply into the LCM equation.

GCF(38947,38962) = 1
LCM(38947,38962) = ( 38947 × 38962) / 1
LCM(38947,38962) = 1517453014 / 1
LCM(38947,38962) = 1517453014

Least Common Multiple (LCM) of 38947 and 38962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38947 and 38962. First we will calculate the prime factors of 38947 and 38962.

Prime Factorization of 38947

Prime factors of 38947 are 17, 29, 79. Prime factorization of 38947 in exponential form is:

38947 = 171 × 291 × 791

Prime Factorization of 38962

Prime factors of 38962 are 2, 7, 11, 23. Prime factorization of 38962 in exponential form is:

38962 = 21 × 71 × 112 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 38947 and 38962.

LCM(38947,38962) = 171 × 291 × 791 × 21 × 71 × 112 × 231
LCM(38947,38962) = 1517453014