What is the Least Common Multiple of 63811 and 63820?
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 63811 and 63820 is 4072418020.
LCM(63811,63820) = 4072418020
Least Common Multiple of 63811 and 63820 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63811 and 63820, than apply into the LCM equation.
GCF(63811,63820) = 1
LCM(63811,63820) = ( 63811 × 63820) / 1
LCM(63811,63820) = 4072418020 / 1
LCM(63811,63820) = 4072418020
Least Common Multiple (LCM) of 63811 and 63820 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63811 and 63820. First we will calculate the prime factors of 63811 and 63820.
Prime Factorization of 63811
Prime factors of 63811 are 11, 5801. Prime factorization of 63811 in exponential form is:
63811 = 111 × 58011
Prime Factorization of 63820
Prime factors of 63820 are 2, 5, 3191. Prime factorization of 63820 in exponential form is:
63820 = 22 × 51 × 31911
Now multiplying the highest exponent prime factors to calculate the LCM of 63811 and 63820.
LCM(63811,63820) = 111 × 58011 × 22 × 51 × 31911
LCM(63811,63820) = 4072418020
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