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What is the Least Common Multiple of 61101 and 61115?

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 61101 and 61115 is 3734187615.

LCM(61101,61115) = 3734187615

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Least Common Multiple of 61101 and 61115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61101 and 61115, than apply into the LCM equation.

GCF(61101,61115) = 1
LCM(61101,61115) = ( 61101 × 61115) / 1
LCM(61101,61115) = 3734187615 / 1
LCM(61101,61115) = 3734187615

Least Common Multiple (LCM) of 61101 and 61115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61101 and 61115. First we will calculate the prime factors of 61101 and 61115.

Prime Factorization of 61101

Prime factors of 61101 are 3, 31, 73. Prime factorization of 61101 in exponential form is:

61101 = 33 × 311 × 731

Prime Factorization of 61115

Prime factors of 61115 are 5, 17, 719. Prime factorization of 61115 in exponential form is:

61115 = 51 × 171 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 61101 and 61115.

LCM(61101,61115) = 33 × 311 × 731 × 51 × 171 × 7191
LCM(61101,61115) = 3734187615