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What is the Least Common Multiple of 54690 and 54701?

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 54690 and 54701 is 2991597690.

LCM(54690,54701) = 2991597690

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Least Common Multiple of 54690 and 54701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54690 and 54701, than apply into the LCM equation.

GCF(54690,54701) = 1
LCM(54690,54701) = ( 54690 × 54701) / 1
LCM(54690,54701) = 2991597690 / 1
LCM(54690,54701) = 2991597690

Least Common Multiple (LCM) of 54690 and 54701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54690 and 54701. First we will calculate the prime factors of 54690 and 54701.

Prime Factorization of 54690

Prime factors of 54690 are 2, 3, 5, 1823. Prime factorization of 54690 in exponential form is:

54690 = 21 × 31 × 51 × 18231

Prime Factorization of 54701

Prime factors of 54701 are 19, 2879. Prime factorization of 54701 in exponential form is:

54701 = 191 × 28791

Now multiplying the highest exponent prime factors to calculate the LCM of 54690 and 54701.

LCM(54690,54701) = 21 × 31 × 51 × 18231 × 191 × 28791
LCM(54690,54701) = 2991597690