What is the Least Common Multiple of 6973 and 6977?
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 6973 and 6977 is 48650621.
LCM(6973,6977) = 48650621
Least Common Multiple of 6973 and 6977 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6973 and 6977, than apply into the LCM equation.
GCF(6973,6977) = 1
LCM(6973,6977) = ( 6973 × 6977) / 1
LCM(6973,6977) = 48650621 / 1
LCM(6973,6977) = 48650621
Least Common Multiple (LCM) of 6973 and 6977 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6973 and 6977. First we will calculate the prime factors of 6973 and 6977.
Prime Factorization of 6973
Prime factors of 6973 are 19, 367. Prime factorization of 6973 in exponential form is:
6973 = 191 × 3671
Prime Factorization of 6977
Prime factors of 6977 are 6977. Prime factorization of 6977 in exponential form is:
6977 = 69771
Now multiplying the highest exponent prime factors to calculate the LCM of 6973 and 6977.
LCM(6973,6977) = 191 × 3671 × 69771
LCM(6973,6977) = 48650621
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