What is the Least Common Multiple of 66967 and 66971?
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 66967 and 66971 is 4484846957.
LCM(66967,66971) = 4484846957
Least Common Multiple of 66967 and 66971 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66967 and 66971, than apply into the LCM equation.
GCF(66967,66971) = 1
LCM(66967,66971) = ( 66967 × 66971) / 1
LCM(66967,66971) = 4484846957 / 1
LCM(66967,66971) = 4484846957
Least Common Multiple (LCM) of 66967 and 66971 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66967 and 66971. First we will calculate the prime factors of 66967 and 66971.
Prime Factorization of 66967
Prime factors of 66967 are 167, 401. Prime factorization of 66967 in exponential form is:
66967 = 1671 × 4011
Prime Factorization of 66971
Prime factors of 66971 are 193, 347. Prime factorization of 66971 in exponential form is:
66971 = 1931 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 66967 and 66971.
LCM(66967,66971) = 1671 × 4011 × 1931 × 3471
LCM(66967,66971) = 4484846957
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