What is the Least Common Multiple of 63427 and 63436?
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 63427 and 63436 is 4023555172.
LCM(63427,63436) = 4023555172
Least Common Multiple of 63427 and 63436 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63427 and 63436, than apply into the LCM equation.
GCF(63427,63436) = 1
LCM(63427,63436) = ( 63427 × 63436) / 1
LCM(63427,63436) = 4023555172 / 1
LCM(63427,63436) = 4023555172
Least Common Multiple (LCM) of 63427 and 63436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63427 and 63436. First we will calculate the prime factors of 63427 and 63436.
Prime Factorization of 63427
Prime factors of 63427 are 7, 13, 17, 41. Prime factorization of 63427 in exponential form is:
63427 = 71 × 131 × 171 × 411
Prime Factorization of 63436
Prime factors of 63436 are 2, 15859. Prime factorization of 63436 in exponential form is:
63436 = 22 × 158591
Now multiplying the highest exponent prime factors to calculate the LCM of 63427 and 63436.
LCM(63427,63436) = 71 × 131 × 171 × 411 × 22 × 158591
LCM(63427,63436) = 4023555172
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