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What is the Least Common Multiple of 54606 and 54622?

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 54606 and 54622 is 1491344466.

LCM(54606,54622) = 1491344466

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Least Common Multiple of 54606 and 54622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54606 and 54622, than apply into the LCM equation.

GCF(54606,54622) = 2
LCM(54606,54622) = ( 54606 × 54622) / 2
LCM(54606,54622) = 2982688932 / 2
LCM(54606,54622) = 1491344466

Least Common Multiple (LCM) of 54606 and 54622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54606 and 54622. First we will calculate the prime factors of 54606 and 54622.

Prime Factorization of 54606

Prime factors of 54606 are 2, 3, 19, 479. Prime factorization of 54606 in exponential form is:

54606 = 21 × 31 × 191 × 4791

Prime Factorization of 54622

Prime factors of 54622 are 2, 31, 881. Prime factorization of 54622 in exponential form is:

54622 = 21 × 311 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 54606 and 54622.

LCM(54606,54622) = 21 × 31 × 191 × 4791 × 311 × 8811
LCM(54606,54622) = 1491344466