What is the Least Common Multiple of 63056 and 63060?
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 63056 and 63060 is 994077840.
LCM(63056,63060) = 994077840
Least Common Multiple of 63056 and 63060 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63056 and 63060, than apply into the LCM equation.
GCF(63056,63060) = 4
LCM(63056,63060) = ( 63056 × 63060) / 4
LCM(63056,63060) = 3976311360 / 4
LCM(63056,63060) = 994077840
Least Common Multiple (LCM) of 63056 and 63060 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63056 and 63060. First we will calculate the prime factors of 63056 and 63060.
Prime Factorization of 63056
Prime factors of 63056 are 2, 7, 563. Prime factorization of 63056 in exponential form is:
63056 = 24 × 71 × 5631
Prime Factorization of 63060
Prime factors of 63060 are 2, 3, 5, 1051. Prime factorization of 63060 in exponential form is:
63060 = 22 × 31 × 51 × 10511
Now multiplying the highest exponent prime factors to calculate the LCM of 63056 and 63060.
LCM(63056,63060) = 24 × 71 × 5631 × 31 × 51 × 10511
LCM(63056,63060) = 994077840
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