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What is the Least Common Multiple of 62150 and 62161?

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 62161 is 351209650.

LCM(62150,62161) = 351209650

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Least Common Multiple of 62150 and 62161 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 62161, than apply into the LCM equation.

GCF(62150,62161) = 11
LCM(62150,62161) = ( 62150 × 62161) / 11
LCM(62150,62161) = 3863306150 / 11
LCM(62150,62161) = 351209650

Least Common Multiple (LCM) of 62150 and 62161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62150 and 62161. First we will calculate the prime factors of 62150 and 62161.

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 62161

Prime factors of 62161 are 11, 5651. Prime factorization of 62161 in exponential form is:

62161 = 111 × 56511

Now multiplying the highest exponent prime factors to calculate the LCM of 62150 and 62161.

LCM(62150,62161) = 21 × 52 × 111 × 1131 × 56511
LCM(62150,62161) = 351209650