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What is the Least Common Multiple of 62907 and 62926?

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 62907 and 62926 is 3958485882.

LCM(62907,62926) = 3958485882

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Least Common Multiple of 62907 and 62926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62907 and 62926, than apply into the LCM equation.

GCF(62907,62926) = 1
LCM(62907,62926) = ( 62907 × 62926) / 1
LCM(62907,62926) = 3958485882 / 1
LCM(62907,62926) = 3958485882

Least Common Multiple (LCM) of 62907 and 62926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62907 and 62926. First we will calculate the prime factors of 62907 and 62926.

Prime Factorization of 62907

Prime factors of 62907 are 3, 13, 1613. Prime factorization of 62907 in exponential form is:

62907 = 31 × 131 × 16131

Prime Factorization of 62926

Prime factors of 62926 are 2, 73, 431. Prime factorization of 62926 in exponential form is:

62926 = 21 × 731 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 62907 and 62926.

LCM(62907,62926) = 31 × 131 × 16131 × 21 × 731 × 4311
LCM(62907,62926) = 3958485882