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What is the Least Common Multiple of 54716 and 54721?

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 54716 and 54721 is 2994114236.

LCM(54716,54721) = 2994114236

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Least Common Multiple of 54716 and 54721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54716 and 54721, than apply into the LCM equation.

GCF(54716,54721) = 1
LCM(54716,54721) = ( 54716 × 54721) / 1
LCM(54716,54721) = 2994114236 / 1
LCM(54716,54721) = 2994114236

Least Common Multiple (LCM) of 54716 and 54721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54716 and 54721. First we will calculate the prime factors of 54716 and 54721.

Prime Factorization of 54716

Prime factors of 54716 are 2, 13679. Prime factorization of 54716 in exponential form is:

54716 = 22 × 136791

Prime Factorization of 54721

Prime factors of 54721 are 54721. Prime factorization of 54721 in exponential form is:

54721 = 547211

Now multiplying the highest exponent prime factors to calculate the LCM of 54716 and 54721.

LCM(54716,54721) = 22 × 136791 × 547211
LCM(54716,54721) = 2994114236