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What is the Least Common Multiple of 62150 and 62165?

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 62150 and 62165 is 772710950.

LCM(62150,62165) = 772710950

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Least Common Multiple of 62150 and 62165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62150 and 62165, than apply into the LCM equation.

GCF(62150,62165) = 5
LCM(62150,62165) = ( 62150 × 62165) / 5
LCM(62150,62165) = 3863554750 / 5
LCM(62150,62165) = 772710950

Least Common Multiple (LCM) of 62150 and 62165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62150 and 62165. First we will calculate the prime factors of 62150 and 62165.

Prime Factorization of 62150

Prime factors of 62150 are 2, 5, 11, 113. Prime factorization of 62150 in exponential form is:

62150 = 21 × 52 × 111 × 1131

Prime Factorization of 62165

Prime factors of 62165 are 5, 12433. Prime factorization of 62165 in exponential form is:

62165 = 51 × 124331

Now multiplying the highest exponent prime factors to calculate the LCM of 62150 and 62165.

LCM(62150,62165) = 21 × 52 × 111 × 1131 × 124331
LCM(62150,62165) = 772710950