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What is the Least Common Multiple of 97137 and 97150?

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 97137 and 97150 is 9436859550.

LCM(97137,97150) = 9436859550

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Least Common Multiple of 97137 and 97150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97137 and 97150, than apply into the LCM equation.

GCF(97137,97150) = 1
LCM(97137,97150) = ( 97137 × 97150) / 1
LCM(97137,97150) = 9436859550 / 1
LCM(97137,97150) = 9436859550

Least Common Multiple (LCM) of 97137 and 97150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97137 and 97150. First we will calculate the prime factors of 97137 and 97150.

Prime Factorization of 97137

Prime factors of 97137 are 3, 43, 251. Prime factorization of 97137 in exponential form is:

97137 = 32 × 431 × 2511

Prime Factorization of 97150

Prime factors of 97150 are 2, 5, 29, 67. Prime factorization of 97150 in exponential form is:

97150 = 21 × 52 × 291 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 97137 and 97150.

LCM(97137,97150) = 32 × 431 × 2511 × 21 × 52 × 291 × 671
LCM(97137,97150) = 9436859550