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What is the Least Common Multiple of 62898 and 62907?

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 62898 and 62907 is 1318908162.

LCM(62898,62907) = 1318908162

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Least Common Multiple of 62898 and 62907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62898 and 62907, than apply into the LCM equation.

GCF(62898,62907) = 3
LCM(62898,62907) = ( 62898 × 62907) / 3
LCM(62898,62907) = 3956724486 / 3
LCM(62898,62907) = 1318908162

Least Common Multiple (LCM) of 62898 and 62907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62898 and 62907. First we will calculate the prime factors of 62898 and 62907.

Prime Factorization of 62898

Prime factors of 62898 are 2, 3, 11, 953. Prime factorization of 62898 in exponential form is:

62898 = 21 × 31 × 111 × 9531

Prime Factorization of 62907

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

62907 = 31 × 131 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 62898 and 62907.

LCM(62898,62907) = 21 × 31 × 111 × 9531 × 131 × 16131
LCM(62898,62907) = 1318908162