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What is the Least Common Multiple of 54472 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 54472 and 54485 is 2967906920.

LCM(54472,54485) = 2967906920

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Least Common Multiple of 54472 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 54472 and 54485, than apply into the LCM equation.

GCF(54472,54485) = 1
LCM(54472,54485) = ( 54472 × 54485) / 1
LCM(54472,54485) = 2967906920 / 1
LCM(54472,54485) = 2967906920

Least Common Multiple (LCM) of 54472 and 54485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54472 and 54485. First we will calculate the prime factors of 54472 and 54485.

Prime Factorization of 54472

Prime factors of 54472 are 2, 11, 619. Prime factorization of 54472 in exponential form is:

54472 = 23 × 111 × 6191

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 54472 and 54485.

LCM(54472,54485) = 23 × 111 × 6191 × 51 × 171 × 6411
LCM(54472,54485) = 2967906920