What is the Least Common Multiple of 6956 and 6960?
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 6956 and 6960 is 12103440.
LCM(6956,6960) = 12103440
Least Common Multiple of 6956 and 6960 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6956 and 6960, than apply into the LCM equation.
GCF(6956,6960) = 4
LCM(6956,6960) = ( 6956 × 6960) / 4
LCM(6956,6960) = 48413760 / 4
LCM(6956,6960) = 12103440
Least Common Multiple (LCM) of 6956 and 6960 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6956 and 6960. First we will calculate the prime factors of 6956 and 6960.
Prime Factorization of 6956
Prime factors of 6956 are 2, 37, 47. Prime factorization of 6956 in exponential form is:
6956 = 22 × 371 × 471
Prime Factorization of 6960
Prime factors of 6960 are 2, 3, 5, 29. Prime factorization of 6960 in exponential form is:
6960 = 24 × 31 × 51 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 6956 and 6960.
LCM(6956,6960) = 24 × 371 × 471 × 31 × 51 × 291
LCM(6956,6960) = 12103440
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