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What is the Least Common Multiple of 54662 and 54669?

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 54662 and 54669 is 2988316878.

LCM(54662,54669) = 2988316878

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Least Common Multiple of 54662 and 54669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54662 and 54669, than apply into the LCM equation.

GCF(54662,54669) = 1
LCM(54662,54669) = ( 54662 × 54669) / 1
LCM(54662,54669) = 2988316878 / 1
LCM(54662,54669) = 2988316878

Least Common Multiple (LCM) of 54662 and 54669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54662 and 54669. First we will calculate the prime factors of 54662 and 54669.

Prime Factorization of 54662

Prime factors of 54662 are 2, 151, 181. Prime factorization of 54662 in exponential form is:

54662 = 21 × 1511 × 1811

Prime Factorization of 54669

Prime factors of 54669 are 3, 18223. Prime factorization of 54669 in exponential form is:

54669 = 31 × 182231

Now multiplying the highest exponent prime factors to calculate the LCM of 54662 and 54669.

LCM(54662,54669) = 21 × 1511 × 1811 × 31 × 182231
LCM(54662,54669) = 2988316878