What is the Least Common Multiple of 60979 and 60994?
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 60979 and 60994 is 3719353126.
LCM(60979,60994) = 3719353126
Least Common Multiple of 60979 and 60994 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60979 and 60994, than apply into the LCM equation.
GCF(60979,60994) = 1
LCM(60979,60994) = ( 60979 × 60994) / 1
LCM(60979,60994) = 3719353126 / 1
LCM(60979,60994) = 3719353126
Least Common Multiple (LCM) of 60979 and 60994 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60979 and 60994. First we will calculate the prime factors of 60979 and 60994.
Prime Factorization of 60979
Prime factors of 60979 are 17, 211. Prime factorization of 60979 in exponential form is:
60979 = 172 × 2111
Prime Factorization of 60994
Prime factors of 60994 are 2, 30497. Prime factorization of 60994 in exponential form is:
60994 = 21 × 304971
Now multiplying the highest exponent prime factors to calculate the LCM of 60979 and 60994.
LCM(60979,60994) = 172 × 2111 × 21 × 304971
LCM(60979,60994) = 3719353126
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