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What is the Least Common Multiple of 62907 and 62922?

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 62922 is 1319411418.

LCM(62907,62922) = 1319411418

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Least Common Multiple of 62907 and 62922 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 62922, than apply into the LCM equation.

GCF(62907,62922) = 3
LCM(62907,62922) = ( 62907 × 62922) / 3
LCM(62907,62922) = 3958234254 / 3
LCM(62907,62922) = 1319411418

Least Common Multiple (LCM) of 62907 and 62922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62907 and 62922. First we will calculate the prime factors of 62907 and 62922.

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 62922

Prime factors of 62922 are 2, 3, 10487. Prime factorization of 62922 in exponential form is:

62922 = 21 × 31 × 104871

Now multiplying the highest exponent prime factors to calculate the LCM of 62907 and 62922.

LCM(62907,62922) = 31 × 131 × 16131 × 21 × 104871
LCM(62907,62922) = 1319411418