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What is the Least Common Multiple of 62150 and 62157?

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 62157 is 3863057550.

LCM(62150,62157) = 3863057550

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Least Common Multiple of 62150 and 62157 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 62157, than apply into the LCM equation.

GCF(62150,62157) = 1
LCM(62150,62157) = ( 62150 × 62157) / 1
LCM(62150,62157) = 3863057550 / 1
LCM(62150,62157) = 3863057550

Least Common Multiple (LCM) of 62150 and 62157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62150 and 62157. First we will calculate the prime factors of 62150 and 62157.

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 62157

Prime factors of 62157 are 3, 20719. Prime factorization of 62157 in exponential form is:

62157 = 31 × 207191

Now multiplying the highest exponent prime factors to calculate the LCM of 62150 and 62157.

LCM(62150,62157) = 21 × 52 × 111 × 1131 × 31 × 207191
LCM(62150,62157) = 3863057550