What is the Least Common Multiple of 63787 and 63800?
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 63787 and 63800 is 4069610600.
LCM(63787,63800) = 4069610600
Least Common Multiple of 63787 and 63800 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63787 and 63800, than apply into the LCM equation.
GCF(63787,63800) = 1
LCM(63787,63800) = ( 63787 × 63800) / 1
LCM(63787,63800) = 4069610600 / 1
LCM(63787,63800) = 4069610600
Least Common Multiple (LCM) of 63787 and 63800 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63787 and 63800. First we will calculate the prime factors of 63787 and 63800.
Prime Factorization of 63787
Prime factors of 63787 are 227, 281. Prime factorization of 63787 in exponential form is:
63787 = 2271 × 2811
Prime Factorization of 63800
Prime factors of 63800 are 2, 5, 11, 29. Prime factorization of 63800 in exponential form is:
63800 = 23 × 52 × 111 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 63787 and 63800.
LCM(63787,63800) = 2271 × 2811 × 23 × 52 × 111 × 291
LCM(63787,63800) = 4069610600
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