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What is the Least Common Multiple of 62650 and 62662?

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 62650 and 62662 is 1962887150.

LCM(62650,62662) = 1962887150

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Least Common Multiple of 62650 and 62662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62650 and 62662, than apply into the LCM equation.

GCF(62650,62662) = 2
LCM(62650,62662) = ( 62650 × 62662) / 2
LCM(62650,62662) = 3925774300 / 2
LCM(62650,62662) = 1962887150

Least Common Multiple (LCM) of 62650 and 62662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62650 and 62662. First we will calculate the prime factors of 62650 and 62662.

Prime Factorization of 62650

Prime factors of 62650 are 2, 5, 7, 179. Prime factorization of 62650 in exponential form is:

62650 = 21 × 52 × 71 × 1791

Prime Factorization of 62662

Prime factors of 62662 are 2, 17, 19, 97. Prime factorization of 62662 in exponential form is:

62662 = 21 × 171 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 62650 and 62662.

LCM(62650,62662) = 21 × 52 × 71 × 1791 × 171 × 191 × 971
LCM(62650,62662) = 1962887150