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What is the Least Common Multiple of 61071 and 61091?

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 61071 and 61091 is 3730888461.

LCM(61071,61091) = 3730888461

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Least Common Multiple of 61071 and 61091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61071 and 61091, than apply into the LCM equation.

GCF(61071,61091) = 1
LCM(61071,61091) = ( 61071 × 61091) / 1
LCM(61071,61091) = 3730888461 / 1
LCM(61071,61091) = 3730888461

Least Common Multiple (LCM) of 61071 and 61091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61071 and 61091. First we will calculate the prime factors of 61071 and 61091.

Prime Factorization of 61071

Prime factors of 61071 are 3, 20357. Prime factorization of 61071 in exponential form is:

61071 = 31 × 203571

Prime Factorization of 61091

Prime factors of 61091 are 61091. Prime factorization of 61091 in exponential form is:

61091 = 610911

Now multiplying the highest exponent prime factors to calculate the LCM of 61071 and 61091.

LCM(61071,61091) = 31 × 203571 × 610911
LCM(61071,61091) = 3730888461