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What is the Least Common Multiple of 54719 and 54739?

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 54719 and 54739 is 2995263341.

LCM(54719,54739) = 2995263341

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Least Common Multiple of 54719 and 54739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54719 and 54739, than apply into the LCM equation.

GCF(54719,54739) = 1
LCM(54719,54739) = ( 54719 × 54739) / 1
LCM(54719,54739) = 2995263341 / 1
LCM(54719,54739) = 2995263341

Least Common Multiple (LCM) of 54719 and 54739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54719 and 54739. First we will calculate the prime factors of 54719 and 54739.

Prime Factorization of 54719

Prime factors of 54719 are 7, 7817. Prime factorization of 54719 in exponential form is:

54719 = 71 × 78171

Prime Factorization of 54739

Prime factors of 54739 are 19, 43, 67. Prime factorization of 54739 in exponential form is:

54739 = 191 × 431 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 54719 and 54739.

LCM(54719,54739) = 71 × 78171 × 191 × 431 × 671
LCM(54719,54739) = 2995263341