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What is the Least Common Multiple of 54665 and 54674?

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 54665 and 54674 is 2988754210.

LCM(54665,54674) = 2988754210

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Least Common Multiple of 54665 and 54674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54665 and 54674, than apply into the LCM equation.

GCF(54665,54674) = 1
LCM(54665,54674) = ( 54665 × 54674) / 1
LCM(54665,54674) = 2988754210 / 1
LCM(54665,54674) = 2988754210

Least Common Multiple (LCM) of 54665 and 54674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54665 and 54674. First we will calculate the prime factors of 54665 and 54674.

Prime Factorization of 54665

Prime factors of 54665 are 5, 13, 29. Prime factorization of 54665 in exponential form is:

54665 = 51 × 131 × 292

Prime Factorization of 54674

Prime factors of 54674 are 2, 27337. Prime factorization of 54674 in exponential form is:

54674 = 21 × 273371

Now multiplying the highest exponent prime factors to calculate the LCM of 54665 and 54674.

LCM(54665,54674) = 51 × 131 × 292 × 21 × 273371
LCM(54665,54674) = 2988754210