What is the Least Common Multiple of 63470 and 63477?
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 63470 and 63477 is 4028885190.
LCM(63470,63477) = 4028885190
Least Common Multiple of 63470 and 63477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63470 and 63477, than apply into the LCM equation.
GCF(63470,63477) = 1
LCM(63470,63477) = ( 63470 × 63477) / 1
LCM(63470,63477) = 4028885190 / 1
LCM(63470,63477) = 4028885190
Least Common Multiple (LCM) of 63470 and 63477 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63470 and 63477. First we will calculate the prime factors of 63470 and 63477.
Prime Factorization of 63470
Prime factors of 63470 are 2, 5, 11, 577. Prime factorization of 63470 in exponential form is:
63470 = 21 × 51 × 111 × 5771
Prime Factorization of 63477
Prime factors of 63477 are 3, 2351. Prime factorization of 63477 in exponential form is:
63477 = 33 × 23511
Now multiplying the highest exponent prime factors to calculate the LCM of 63470 and 63477.
LCM(63470,63477) = 21 × 51 × 111 × 5771 × 33 × 23511
LCM(63470,63477) = 4028885190
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