What is the Least Common Multiple of 63472 and 63486?
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 63472 and 63486 is 2014791696.
LCM(63472,63486) = 2014791696
Least Common Multiple of 63472 and 63486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63472 and 63486, than apply into the LCM equation.
GCF(63472,63486) = 2
LCM(63472,63486) = ( 63472 × 63486) / 2
LCM(63472,63486) = 4029583392 / 2
LCM(63472,63486) = 2014791696
Least Common Multiple (LCM) of 63472 and 63486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63472 and 63486. First we will calculate the prime factors of 63472 and 63486.
Prime Factorization of 63472
Prime factors of 63472 are 2, 3967. Prime factorization of 63472 in exponential form is:
63472 = 24 × 39671
Prime Factorization of 63486
Prime factors of 63486 are 2, 3, 3527. Prime factorization of 63486 in exponential form is:
63486 = 21 × 32 × 35271
Now multiplying the highest exponent prime factors to calculate the LCM of 63472 and 63486.
LCM(63472,63486) = 24 × 39671 × 32 × 35271
LCM(63472,63486) = 2014791696
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