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What is the Least Common Multiple of 5190 and 5197?

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 5190 and 5197 is 26972430.

LCM(5190,5197) = 26972430

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Least Common Multiple of 5190 and 5197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5190 and 5197, than apply into the LCM equation.

GCF(5190,5197) = 1
LCM(5190,5197) = ( 5190 × 5197) / 1
LCM(5190,5197) = 26972430 / 1
LCM(5190,5197) = 26972430

Least Common Multiple (LCM) of 5190 and 5197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5190 and 5197. First we will calculate the prime factors of 5190 and 5197.

Prime Factorization of 5190

Prime factors of 5190 are 2, 3, 5, 173. Prime factorization of 5190 in exponential form is:

5190 = 21 × 31 × 51 × 1731

Prime Factorization of 5197

Prime factors of 5197 are 5197. Prime factorization of 5197 in exponential form is:

5197 = 51971

Now multiplying the highest exponent prime factors to calculate the LCM of 5190 and 5197.

LCM(5190,5197) = 21 × 31 × 51 × 1731 × 51971
LCM(5190,5197) = 26972430