What is the Least Common Multiple of 63651 and 63655?
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 63651 and 63655 is 4051704405.
LCM(63651,63655) = 4051704405
Least Common Multiple of 63651 and 63655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63651 and 63655, than apply into the LCM equation.
GCF(63651,63655) = 1
LCM(63651,63655) = ( 63651 × 63655) / 1
LCM(63651,63655) = 4051704405 / 1
LCM(63651,63655) = 4051704405
Least Common Multiple (LCM) of 63651 and 63655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63651 and 63655. First we will calculate the prime factors of 63651 and 63655.
Prime Factorization of 63651
Prime factors of 63651 are 3, 7, 433. Prime factorization of 63651 in exponential form is:
63651 = 31 × 72 × 4331
Prime Factorization of 63655
Prime factors of 63655 are 5, 29, 439. Prime factorization of 63655 in exponential form is:
63655 = 51 × 291 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 63651 and 63655.
LCM(63651,63655) = 31 × 72 × 4331 × 51 × 291 × 4391
LCM(63651,63655) = 4051704405
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