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What is the Least Common Multiple of 54907 and 54923?

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 54907 and 54923 is 3015657161.

LCM(54907,54923) = 3015657161

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Least Common Multiple of 54907 and 54923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54907 and 54923, than apply into the LCM equation.

GCF(54907,54923) = 1
LCM(54907,54923) = ( 54907 × 54923) / 1
LCM(54907,54923) = 3015657161 / 1
LCM(54907,54923) = 3015657161

Least Common Multiple (LCM) of 54907 and 54923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54907 and 54923. First we will calculate the prime factors of 54907 and 54923.

Prime Factorization of 54907

Prime factors of 54907 are 54907. Prime factorization of 54907 in exponential form is:

54907 = 549071

Prime Factorization of 54923

Prime factors of 54923 are 11, 4993. Prime factorization of 54923 in exponential form is:

54923 = 111 × 49931

Now multiplying the highest exponent prime factors to calculate the LCM of 54907 and 54923.

LCM(54907,54923) = 549071 × 111 × 49931
LCM(54907,54923) = 3015657161