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What is the Least Common Multiple of 79180 and 79197?

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 79180 and 79197 is 6270818460.

LCM(79180,79197) = 6270818460

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Least Common Multiple of 79180 and 79197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79180 and 79197, than apply into the LCM equation.

GCF(79180,79197) = 1
LCM(79180,79197) = ( 79180 × 79197) / 1
LCM(79180,79197) = 6270818460 / 1
LCM(79180,79197) = 6270818460

Least Common Multiple (LCM) of 79180 and 79197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79180 and 79197. First we will calculate the prime factors of 79180 and 79197.

Prime Factorization of 79180

Prime factors of 79180 are 2, 5, 37, 107. Prime factorization of 79180 in exponential form is:

79180 = 22 × 51 × 371 × 1071

Prime Factorization of 79197

Prime factors of 79197 are 3, 26399. Prime factorization of 79197 in exponential form is:

79197 = 31 × 263991

Now multiplying the highest exponent prime factors to calculate the LCM of 79180 and 79197.

LCM(79180,79197) = 22 × 51 × 371 × 1071 × 31 × 263991
LCM(79180,79197) = 6270818460