What is the Least Common Multiple of 60679 and 60691?
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 60691 is 3682669189.
LCM(60679,60691) = 3682669189
Least Common Multiple of 60679 and 60691 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 60691, than apply into the LCM equation.
GCF(60679,60691) = 1
LCM(60679,60691) = ( 60679 × 60691) / 1
LCM(60679,60691) = 3682669189 / 1
LCM(60679,60691) = 3682669189
Least Common Multiple (LCM) of 60679 and 60691 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60679 and 60691. First we will calculate the prime factors of 60679 and 60691.
Prime Factorization of 60679
Prime factors of 60679 are 60679. Prime factorization of 60679 in exponential form is:
60679 = 606791
Prime Factorization of 60691
Prime factors of 60691 are 137, 443. Prime factorization of 60691 in exponential form is:
60691 = 1371 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 60679 and 60691.
LCM(60679,60691) = 606791 × 1371 × 4431
LCM(60679,60691) = 3682669189
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