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What is the Least Common Multiple of 61011 and 61030?

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 61011 and 61030 is 3723501330.

LCM(61011,61030) = 3723501330

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Least Common Multiple of 61011 and 61030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61011 and 61030, than apply into the LCM equation.

GCF(61011,61030) = 1
LCM(61011,61030) = ( 61011 × 61030) / 1
LCM(61011,61030) = 3723501330 / 1
LCM(61011,61030) = 3723501330

Least Common Multiple (LCM) of 61011 and 61030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61011 and 61030. First we will calculate the prime factors of 61011 and 61030.

Prime Factorization of 61011

Prime factors of 61011 are 3, 6779. Prime factorization of 61011 in exponential form is:

61011 = 32 × 67791

Prime Factorization of 61030

Prime factors of 61030 are 2, 5, 17, 359. Prime factorization of 61030 in exponential form is:

61030 = 21 × 51 × 171 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 61011 and 61030.

LCM(61011,61030) = 32 × 67791 × 21 × 51 × 171 × 3591
LCM(61011,61030) = 3723501330