What is the Least Common Multiple of 63777 and 63787?
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 63777 and 63787 is 4068143499.
LCM(63777,63787) = 4068143499
Least Common Multiple of 63777 and 63787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63777 and 63787, than apply into the LCM equation.
GCF(63777,63787) = 1
LCM(63777,63787) = ( 63777 × 63787) / 1
LCM(63777,63787) = 4068143499 / 1
LCM(63777,63787) = 4068143499
Least Common Multiple (LCM) of 63777 and 63787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63777 and 63787. First we will calculate the prime factors of 63777 and 63787.
Prime Factorization of 63777
Prime factors of 63777 are 3, 7, 3037. Prime factorization of 63777 in exponential form is:
63777 = 31 × 71 × 30371
Prime Factorization of 63787
Prime factors of 63787 are 227, 281. Prime factorization of 63787 in exponential form is:
63787 = 2271 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 63777 and 63787.
LCM(63777,63787) = 31 × 71 × 30371 × 2271 × 2811
LCM(63777,63787) = 4068143499
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