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What is the Least Common Multiple of 54541 and 54550?

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 54541 and 54550 is 2975211550.

LCM(54541,54550) = 2975211550

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Least Common Multiple of 54541 and 54550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54541 and 54550, than apply into the LCM equation.

GCF(54541,54550) = 1
LCM(54541,54550) = ( 54541 × 54550) / 1
LCM(54541,54550) = 2975211550 / 1
LCM(54541,54550) = 2975211550

Least Common Multiple (LCM) of 54541 and 54550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54541 and 54550. First we will calculate the prime factors of 54541 and 54550.

Prime Factorization of 54541

Prime factors of 54541 are 54541. Prime factorization of 54541 in exponential form is:

54541 = 545411

Prime Factorization of 54550

Prime factors of 54550 are 2, 5, 1091. Prime factorization of 54550 in exponential form is:

54550 = 21 × 52 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 54541 and 54550.

LCM(54541,54550) = 545411 × 21 × 52 × 10911
LCM(54541,54550) = 2975211550