What is the Least Common Multiple of 67931 and 67943?
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 67931 and 67943 is 4615435933.
LCM(67931,67943) = 4615435933
Least Common Multiple of 67931 and 67943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67931 and 67943, than apply into the LCM equation.
GCF(67931,67943) = 1
LCM(67931,67943) = ( 67931 × 67943) / 1
LCM(67931,67943) = 4615435933 / 1
LCM(67931,67943) = 4615435933
Least Common Multiple (LCM) of 67931 and 67943 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67931 and 67943. First we will calculate the prime factors of 67931 and 67943.
Prime Factorization of 67931
Prime factors of 67931 are 67931. Prime factorization of 67931 in exponential form is:
67931 = 679311
Prime Factorization of 67943
Prime factors of 67943 are 67943. Prime factorization of 67943 in exponential form is:
67943 = 679431
Now multiplying the highest exponent prime factors to calculate the LCM of 67931 and 67943.
LCM(67931,67943) = 679311 × 679431
LCM(67931,67943) = 4615435933
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