What is the Least Common Multiple of 63533 and 63542?
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 63533 and 63542 is 4037013886.
LCM(63533,63542) = 4037013886
Least Common Multiple of 63533 and 63542 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63533 and 63542, than apply into the LCM equation.
GCF(63533,63542) = 1
LCM(63533,63542) = ( 63533 × 63542) / 1
LCM(63533,63542) = 4037013886 / 1
LCM(63533,63542) = 4037013886
Least Common Multiple (LCM) of 63533 and 63542 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63533 and 63542. First we will calculate the prime factors of 63533 and 63542.
Prime Factorization of 63533
Prime factors of 63533 are 63533. Prime factorization of 63533 in exponential form is:
63533 = 635331
Prime Factorization of 63542
Prime factors of 63542 are 2, 31771. Prime factorization of 63542 in exponential form is:
63542 = 21 × 317711
Now multiplying the highest exponent prime factors to calculate the LCM of 63533 and 63542.
LCM(63533,63542) = 635331 × 21 × 317711
LCM(63533,63542) = 4037013886
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