What is the Least Common Multiple of 60679 and 60689?
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 60679 and 60689 is 3682547831.
LCM(60679,60689) = 3682547831
Least Common Multiple of 60679 and 60689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60679 and 60689, than apply into the LCM equation.
GCF(60679,60689) = 1
LCM(60679,60689) = ( 60679 × 60689) / 1
LCM(60679,60689) = 3682547831 / 1
LCM(60679,60689) = 3682547831
Least Common Multiple (LCM) of 60679 and 60689 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60679 and 60689. First we will calculate the prime factors of 60679 and 60689.
Prime Factorization of 60679
Prime factors of 60679 are 60679. Prime factorization of 60679 in exponential form is:
60679 = 606791
Prime Factorization of 60689
Prime factors of 60689 are 60689. Prime factorization of 60689 in exponential form is:
60689 = 606891
Now multiplying the highest exponent prime factors to calculate the LCM of 60679 and 60689.
LCM(60679,60689) = 606791 × 606891
LCM(60679,60689) = 3682547831
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