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What is the Least Common Multiple of 61190 and 61197?

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 61190 and 61197 is 3744644430.

LCM(61190,61197) = 3744644430

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Least Common Multiple of 61190 and 61197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61190 and 61197, than apply into the LCM equation.

GCF(61190,61197) = 1
LCM(61190,61197) = ( 61190 × 61197) / 1
LCM(61190,61197) = 3744644430 / 1
LCM(61190,61197) = 3744644430

Least Common Multiple (LCM) of 61190 and 61197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61190 and 61197. First we will calculate the prime factors of 61190 and 61197.

Prime Factorization of 61190

Prime factors of 61190 are 2, 5, 29, 211. Prime factorization of 61190 in exponential form is:

61190 = 21 × 51 × 291 × 2111

Prime Factorization of 61197

Prime factors of 61197 are 3, 20399. Prime factorization of 61197 in exponential form is:

61197 = 31 × 203991

Now multiplying the highest exponent prime factors to calculate the LCM of 61190 and 61197.

LCM(61190,61197) = 21 × 51 × 291 × 2111 × 31 × 203991
LCM(61190,61197) = 3744644430