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What is the Least Common Multiple of 54659 and 54677?

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 54659 and 54677 is 2988590143.

LCM(54659,54677) = 2988590143

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Least Common Multiple of 54659 and 54677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54659 and 54677, than apply into the LCM equation.

GCF(54659,54677) = 1
LCM(54659,54677) = ( 54659 × 54677) / 1
LCM(54659,54677) = 2988590143 / 1
LCM(54659,54677) = 2988590143

Least Common Multiple (LCM) of 54659 and 54677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54659 and 54677. First we will calculate the prime factors of 54659 and 54677.

Prime Factorization of 54659

Prime factors of 54659 are 11, 4969. Prime factorization of 54659 in exponential form is:

54659 = 111 × 49691

Prime Factorization of 54677

Prime factors of 54677 are 7, 73, 107. Prime factorization of 54677 in exponential form is:

54677 = 71 × 731 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 54659 and 54677.

LCM(54659,54677) = 111 × 49691 × 71 × 731 × 1071
LCM(54659,54677) = 2988590143