What is the Least Common Multiple of 66961 and 66969?
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 66961 and 66969 is 4484311209.
LCM(66961,66969) = 4484311209
Least Common Multiple of 66961 and 66969 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66961 and 66969, than apply into the LCM equation.
GCF(66961,66969) = 1
LCM(66961,66969) = ( 66961 × 66969) / 1
LCM(66961,66969) = 4484311209 / 1
LCM(66961,66969) = 4484311209
Least Common Multiple (LCM) of 66961 and 66969 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66961 and 66969. First we will calculate the prime factors of 66961 and 66969.
Prime Factorization of 66961
Prime factors of 66961 are 29, 2309. Prime factorization of 66961 in exponential form is:
66961 = 291 × 23091
Prime Factorization of 66969
Prime factors of 66969 are 3, 7, 1063. Prime factorization of 66969 in exponential form is:
66969 = 32 × 71 × 10631
Now multiplying the highest exponent prime factors to calculate the LCM of 66961 and 66969.
LCM(66961,66969) = 291 × 23091 × 32 × 71 × 10631
LCM(66961,66969) = 4484311209
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