What is the Least Common Multiple of 76970 and 76979?
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 76970 and 76979 is 5925073630.
LCM(76970,76979) = 5925073630
Least Common Multiple of 76970 and 76979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76970 and 76979, than apply into the LCM equation.
GCF(76970,76979) = 1
LCM(76970,76979) = ( 76970 × 76979) / 1
LCM(76970,76979) = 5925073630 / 1
LCM(76970,76979) = 5925073630
Least Common Multiple (LCM) of 76970 and 76979 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76970 and 76979. First we will calculate the prime factors of 76970 and 76979.
Prime Factorization of 76970
Prime factors of 76970 are 2, 5, 43, 179. Prime factorization of 76970 in exponential form is:
76970 = 21 × 51 × 431 × 1791
Prime Factorization of 76979
Prime factors of 76979 are 7, 1571. Prime factorization of 76979 in exponential form is:
76979 = 72 × 15711
Now multiplying the highest exponent prime factors to calculate the LCM of 76970 and 76979.
LCM(76970,76979) = 21 × 51 × 431 × 1791 × 72 × 15711
LCM(76970,76979) = 5925073630
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