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What is the Least Common Multiple of 54685 and 54689?

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 54685 and 54689 is 2990667965.

LCM(54685,54689) = 2990667965

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Least Common Multiple of 54685 and 54689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54685 and 54689, than apply into the LCM equation.

GCF(54685,54689) = 1
LCM(54685,54689) = ( 54685 × 54689) / 1
LCM(54685,54689) = 2990667965 / 1
LCM(54685,54689) = 2990667965

Least Common Multiple (LCM) of 54685 and 54689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54685 and 54689. First we will calculate the prime factors of 54685 and 54689.

Prime Factorization of 54685

Prime factors of 54685 are 5, 10937. Prime factorization of 54685 in exponential form is:

54685 = 51 × 109371

Prime Factorization of 54689

Prime factors of 54689 are 17, 3217. Prime factorization of 54689 in exponential form is:

54689 = 171 × 32171

Now multiplying the highest exponent prime factors to calculate the LCM of 54685 and 54689.

LCM(54685,54689) = 51 × 109371 × 171 × 32171
LCM(54685,54689) = 2990667965