What is the Least Common Multiple of 6958 and 6973?
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 6958 and 6973 is 48518134.
LCM(6958,6973) = 48518134
Least Common Multiple of 6958 and 6973 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6958 and 6973, than apply into the LCM equation.
GCF(6958,6973) = 1
LCM(6958,6973) = ( 6958 × 6973) / 1
LCM(6958,6973) = 48518134 / 1
LCM(6958,6973) = 48518134
Least Common Multiple (LCM) of 6958 and 6973 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6958 and 6973. First we will calculate the prime factors of 6958 and 6973.
Prime Factorization of 6958
Prime factors of 6958 are 2, 7, 71. Prime factorization of 6958 in exponential form is:
6958 = 21 × 72 × 711
Prime Factorization of 6973
Prime factors of 6973 are 19, 367. Prime factorization of 6973 in exponential form is:
6973 = 191 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 6958 and 6973.
LCM(6958,6973) = 21 × 72 × 711 × 191 × 3671
LCM(6958,6973) = 48518134
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Related Least Common Multiples of 6973
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