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What is the Least Common Multiple of 54641 and 54648?

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 54641 and 54648 is 2986021368.

LCM(54641,54648) = 2986021368

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Least Common Multiple of 54641 and 54648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54641 and 54648, than apply into the LCM equation.

GCF(54641,54648) = 1
LCM(54641,54648) = ( 54641 × 54648) / 1
LCM(54641,54648) = 2986021368 / 1
LCM(54641,54648) = 2986021368

Least Common Multiple (LCM) of 54641 and 54648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54641 and 54648. First we will calculate the prime factors of 54641 and 54648.

Prime Factorization of 54641

Prime factors of 54641 are 101, 541. Prime factorization of 54641 in exponential form is:

54641 = 1011 × 5411

Prime Factorization of 54648

Prime factors of 54648 are 2, 3, 11, 23. Prime factorization of 54648 in exponential form is:

54648 = 23 × 33 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 54641 and 54648.

LCM(54641,54648) = 1011 × 5411 × 23 × 33 × 111 × 231
LCM(54641,54648) = 2986021368