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What is the Least Common Multiple of 4462 and 4473?

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 4462 and 4473 is 19958526.

LCM(4462,4473) = 19958526

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Least Common Multiple of 4462 and 4473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4462 and 4473, than apply into the LCM equation.

GCF(4462,4473) = 1
LCM(4462,4473) = ( 4462 × 4473) / 1
LCM(4462,4473) = 19958526 / 1
LCM(4462,4473) = 19958526

Least Common Multiple (LCM) of 4462 and 4473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4462 and 4473. First we will calculate the prime factors of 4462 and 4473.

Prime Factorization of 4462

Prime factors of 4462 are 2, 23, 97. Prime factorization of 4462 in exponential form is:

4462 = 21 × 231 × 971

Prime Factorization of 4473

Prime factors of 4473 are 3, 7, 71. Prime factorization of 4473 in exponential form is:

4473 = 32 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 4462 and 4473.

LCM(4462,4473) = 21 × 231 × 971 × 32 × 71 × 711
LCM(4462,4473) = 19958526