What is the Least Common Multiple of 63471 and 63490?
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 63471 and 63490 is 4029773790.
LCM(63471,63490) = 4029773790
Least Common Multiple of 63471 and 63490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63471 and 63490, than apply into the LCM equation.
GCF(63471,63490) = 1
LCM(63471,63490) = ( 63471 × 63490) / 1
LCM(63471,63490) = 4029773790 / 1
LCM(63471,63490) = 4029773790
Least Common Multiple (LCM) of 63471 and 63490 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63471 and 63490. First we will calculate the prime factors of 63471 and 63490.
Prime Factorization of 63471
Prime factors of 63471 are 3, 21157. Prime factorization of 63471 in exponential form is:
63471 = 31 × 211571
Prime Factorization of 63490
Prime factors of 63490 are 2, 5, 7, 907. Prime factorization of 63490 in exponential form is:
63490 = 21 × 51 × 71 × 9071
Now multiplying the highest exponent prime factors to calculate the LCM of 63471 and 63490.
LCM(63471,63490) = 31 × 211571 × 21 × 51 × 71 × 9071
LCM(63471,63490) = 4029773790
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