What is the Least Common Multiple of 63550 and 63554?
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 63550 and 63554 is 2019428350.
LCM(63550,63554) = 2019428350
Least Common Multiple of 63550 and 63554 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63550 and 63554, than apply into the LCM equation.
GCF(63550,63554) = 2
LCM(63550,63554) = ( 63550 × 63554) / 2
LCM(63550,63554) = 4038856700 / 2
LCM(63550,63554) = 2019428350
Least Common Multiple (LCM) of 63550 and 63554 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63550 and 63554. First we will calculate the prime factors of 63550 and 63554.
Prime Factorization of 63550
Prime factors of 63550 are 2, 5, 31, 41. Prime factorization of 63550 in exponential form is:
63550 = 21 × 52 × 311 × 411
Prime Factorization of 63554
Prime factors of 63554 are 2, 43, 739. Prime factorization of 63554 in exponential form is:
63554 = 21 × 431 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 63550 and 63554.
LCM(63550,63554) = 21 × 52 × 311 × 411 × 431 × 7391
LCM(63550,63554) = 2019428350
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