What is the Least Common Multiple of 63055 and 63069?
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 63055 and 63069 is 3976815795.
LCM(63055,63069) = 3976815795
Least Common Multiple of 63055 and 63069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63055 and 63069, than apply into the LCM equation.
GCF(63055,63069) = 1
LCM(63055,63069) = ( 63055 × 63069) / 1
LCM(63055,63069) = 3976815795 / 1
LCM(63055,63069) = 3976815795
Least Common Multiple (LCM) of 63055 and 63069 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63055 and 63069. First we will calculate the prime factors of 63055 and 63069.
Prime Factorization of 63055
Prime factors of 63055 are 5, 12611. Prime factorization of 63055 in exponential form is:
63055 = 51 × 126111
Prime Factorization of 63069
Prime factors of 63069 are 3, 21023. Prime factorization of 63069 in exponential form is:
63069 = 31 × 210231
Now multiplying the highest exponent prime factors to calculate the LCM of 63055 and 63069.
LCM(63055,63069) = 51 × 126111 × 31 × 210231
LCM(63055,63069) = 3976815795
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