What is the Least Common Multiple of 6971 and 6991?
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 6971 and 6991 is 48734261.
LCM(6971,6991) = 48734261
Least Common Multiple of 6971 and 6991 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6971 and 6991, than apply into the LCM equation.
GCF(6971,6991) = 1
LCM(6971,6991) = ( 6971 × 6991) / 1
LCM(6971,6991) = 48734261 / 1
LCM(6971,6991) = 48734261
Least Common Multiple (LCM) of 6971 and 6991 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6971 and 6991. First we will calculate the prime factors of 6971 and 6991.
Prime Factorization of 6971
Prime factors of 6971 are 6971. Prime factorization of 6971 in exponential form is:
6971 = 69711
Prime Factorization of 6991
Prime factors of 6991 are 6991. Prime factorization of 6991 in exponential form is:
6991 = 69911
Now multiplying the highest exponent prime factors to calculate the LCM of 6971 and 6991.
LCM(6971,6991) = 69711 × 69911
LCM(6971,6991) = 48734261
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