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What is the Least Common Multiple of 54474 and 54485?

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 54474 and 54485 is 2968015890.

LCM(54474,54485) = 2968015890

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Least Common Multiple of 54474 and 54485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54474 and 54485, than apply into the LCM equation.

GCF(54474,54485) = 1
LCM(54474,54485) = ( 54474 × 54485) / 1
LCM(54474,54485) = 2968015890 / 1
LCM(54474,54485) = 2968015890

Least Common Multiple (LCM) of 54474 and 54485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54474 and 54485. First we will calculate the prime factors of 54474 and 54485.

Prime Factorization of 54474

Prime factors of 54474 are 2, 3, 7, 1297. Prime factorization of 54474 in exponential form is:

54474 = 21 × 31 × 71 × 12971

Prime Factorization of 54485

Prime factors of 54485 are 5, 17, 641. Prime factorization of 54485 in exponential form is:

54485 = 51 × 171 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 54474 and 54485.

LCM(54474,54485) = 21 × 31 × 71 × 12971 × 51 × 171 × 6411
LCM(54474,54485) = 2968015890