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What is the Least Common Multiple of 61055 and 61068?

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 61055 and 61068 is 3728506740.

LCM(61055,61068) = 3728506740

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Least Common Multiple of 61055 and 61068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61055 and 61068, than apply into the LCM equation.

GCF(61055,61068) = 1
LCM(61055,61068) = ( 61055 × 61068) / 1
LCM(61055,61068) = 3728506740 / 1
LCM(61055,61068) = 3728506740

Least Common Multiple (LCM) of 61055 and 61068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61055 and 61068. First we will calculate the prime factors of 61055 and 61068.

Prime Factorization of 61055

Prime factors of 61055 are 5, 12211. Prime factorization of 61055 in exponential form is:

61055 = 51 × 122111

Prime Factorization of 61068

Prime factors of 61068 are 2, 3, 7, 727. Prime factorization of 61068 in exponential form is:

61068 = 22 × 31 × 71 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 61055 and 61068.

LCM(61055,61068) = 51 × 122111 × 22 × 31 × 71 × 7271
LCM(61055,61068) = 3728506740