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What is the Least Common Multiple of 54609 and 54626?

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 54609 and 54626 is 2983071234.

LCM(54609,54626) = 2983071234

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Least Common Multiple of 54609 and 54626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54609 and 54626, than apply into the LCM equation.

GCF(54609,54626) = 1
LCM(54609,54626) = ( 54609 × 54626) / 1
LCM(54609,54626) = 2983071234 / 1
LCM(54609,54626) = 2983071234

Least Common Multiple (LCM) of 54609 and 54626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54609 and 54626. First we will calculate the prime factors of 54609 and 54626.

Prime Factorization of 54609

Prime factors of 54609 are 3, 109, 167. Prime factorization of 54609 in exponential form is:

54609 = 31 × 1091 × 1671

Prime Factorization of 54626

Prime factors of 54626 are 2, 11, 13, 191. Prime factorization of 54626 in exponential form is:

54626 = 21 × 111 × 131 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 54609 and 54626.

LCM(54609,54626) = 31 × 1091 × 1671 × 21 × 111 × 131 × 1911
LCM(54609,54626) = 2983071234