What is the Least Common Multiple of 63073 and 63077?
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 63073 and 63077 is 3978455621.
LCM(63073,63077) = 3978455621
Least Common Multiple of 63073 and 63077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63073 and 63077, than apply into the LCM equation.
GCF(63073,63077) = 1
LCM(63073,63077) = ( 63073 × 63077) / 1
LCM(63073,63077) = 3978455621 / 1
LCM(63073,63077) = 3978455621
Least Common Multiple (LCM) of 63073 and 63077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63073 and 63077. First we will calculate the prime factors of 63073 and 63077.
Prime Factorization of 63073
Prime factors of 63073 are 63073. Prime factorization of 63073 in exponential form is:
63073 = 630731
Prime Factorization of 63077
Prime factors of 63077 are 7, 9011. Prime factorization of 63077 in exponential form is:
63077 = 71 × 90111
Now multiplying the highest exponent prime factors to calculate the LCM of 63073 and 63077.
LCM(63073,63077) = 630731 × 71 × 90111
LCM(63073,63077) = 3978455621
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