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What is the Least Common Multiple of 54747 and 54767?

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 54747 and 54767 is 2998328949.

LCM(54747,54767) = 2998328949

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Least Common Multiple of 54747 and 54767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54747 and 54767, than apply into the LCM equation.

GCF(54747,54767) = 1
LCM(54747,54767) = ( 54747 × 54767) / 1
LCM(54747,54767) = 2998328949 / 1
LCM(54747,54767) = 2998328949

Least Common Multiple (LCM) of 54747 and 54767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54747 and 54767. First we will calculate the prime factors of 54747 and 54767.

Prime Factorization of 54747

Prime factors of 54747 are 3, 7, 11, 79. Prime factorization of 54747 in exponential form is:

54747 = 32 × 71 × 111 × 791

Prime Factorization of 54767

Prime factors of 54767 are 54767. Prime factorization of 54767 in exponential form is:

54767 = 547671

Now multiplying the highest exponent prime factors to calculate the LCM of 54747 and 54767.

LCM(54747,54767) = 32 × 71 × 111 × 791 × 547671
LCM(54747,54767) = 2998328949