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What is the Least Common Multiple of 38929 and 38946?

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 38929 and 38946 is 1516128834.

LCM(38929,38946) = 1516128834

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Least Common Multiple of 38929 and 38946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38929 and 38946, than apply into the LCM equation.

GCF(38929,38946) = 1
LCM(38929,38946) = ( 38929 × 38946) / 1
LCM(38929,38946) = 1516128834 / 1
LCM(38929,38946) = 1516128834

Least Common Multiple (LCM) of 38929 and 38946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38929 and 38946. First we will calculate the prime factors of 38929 and 38946.

Prime Factorization of 38929

Prime factors of 38929 are 11, 3539. Prime factorization of 38929 in exponential form is:

38929 = 111 × 35391

Prime Factorization of 38946

Prime factors of 38946 are 2, 3, 6491. Prime factorization of 38946 in exponential form is:

38946 = 21 × 31 × 64911

Now multiplying the highest exponent prime factors to calculate the LCM of 38929 and 38946.

LCM(38929,38946) = 111 × 35391 × 21 × 31 × 64911
LCM(38929,38946) = 1516128834