What is the Least Common Multiple of 6947 and 6951?
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 6947 and 6951 is 48288597.
LCM(6947,6951) = 48288597
Least Common Multiple of 6947 and 6951 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6947 and 6951, than apply into the LCM equation.
GCF(6947,6951) = 1
LCM(6947,6951) = ( 6947 × 6951) / 1
LCM(6947,6951) = 48288597 / 1
LCM(6947,6951) = 48288597
Least Common Multiple (LCM) of 6947 and 6951 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6947 and 6951. First we will calculate the prime factors of 6947 and 6951.
Prime Factorization of 6947
Prime factors of 6947 are 6947. Prime factorization of 6947 in exponential form is:
6947 = 69471
Prime Factorization of 6951
Prime factors of 6951 are 3, 7, 331. Prime factorization of 6951 in exponential form is:
6951 = 31 × 71 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 6947 and 6951.
LCM(6947,6951) = 69471 × 31 × 71 × 3311
LCM(6947,6951) = 48288597
Related Least Common Multiples of 6947
- LCM of 6947 and 6951
- LCM of 6947 and 6952
- LCM of 6947 and 6953
- LCM of 6947 and 6954
- LCM of 6947 and 6955
- LCM of 6947 and 6956
- LCM of 6947 and 6957
- LCM of 6947 and 6958
- LCM of 6947 and 6959
- LCM of 6947 and 6960
- LCM of 6947 and 6961
- LCM of 6947 and 6962
- LCM of 6947 and 6963
- LCM of 6947 and 6964
- LCM of 6947 and 6965
- LCM of 6947 and 6966
- LCM of 6947 and 6967
Related Least Common Multiples of 6951
- LCM of 6951 and 6955
- LCM of 6951 and 6956
- LCM of 6951 and 6957
- LCM of 6951 and 6958
- LCM of 6951 and 6959
- LCM of 6951 and 6960
- LCM of 6951 and 6961
- LCM of 6951 and 6962
- LCM of 6951 and 6963
- LCM of 6951 and 6964
- LCM of 6951 and 6965
- LCM of 6951 and 6966
- LCM of 6951 and 6967
- LCM of 6951 and 6968
- LCM of 6951 and 6969
- LCM of 6951 and 6970
- LCM of 6951 and 6971