What is the Least Common Multiple of 63047 and 63067?
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 63047 and 63067 is 3976185149.
LCM(63047,63067) = 3976185149
Least Common Multiple of 63047 and 63067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63047 and 63067, than apply into the LCM equation.
GCF(63047,63067) = 1
LCM(63047,63067) = ( 63047 × 63067) / 1
LCM(63047,63067) = 3976185149 / 1
LCM(63047,63067) = 3976185149
Least Common Multiple (LCM) of 63047 and 63067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63047 and 63067. First we will calculate the prime factors of 63047 and 63067.
Prime Factorization of 63047
Prime factors of 63047 are 67, 941. Prime factorization of 63047 in exponential form is:
63047 = 671 × 9411
Prime Factorization of 63067
Prime factors of 63067 are 63067. Prime factorization of 63067 in exponential form is:
63067 = 630671
Now multiplying the highest exponent prime factors to calculate the LCM of 63047 and 63067.
LCM(63047,63067) = 671 × 9411 × 630671
LCM(63047,63067) = 3976185149
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