What is the Least Common Multiple of 60691 and 60708?
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 60691 and 60708 is 3684429228.
LCM(60691,60708) = 3684429228
Least Common Multiple of 60691 and 60708 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60691 and 60708, than apply into the LCM equation.
GCF(60691,60708) = 1
LCM(60691,60708) = ( 60691 × 60708) / 1
LCM(60691,60708) = 3684429228 / 1
LCM(60691,60708) = 3684429228
Least Common Multiple (LCM) of 60691 and 60708 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60691 and 60708. First we will calculate the prime factors of 60691 and 60708.
Prime Factorization of 60691
Prime factors of 60691 are 137, 443. Prime factorization of 60691 in exponential form is:
60691 = 1371 × 4431
Prime Factorization of 60708
Prime factors of 60708 are 2, 3, 5059. Prime factorization of 60708 in exponential form is:
60708 = 22 × 31 × 50591
Now multiplying the highest exponent prime factors to calculate the LCM of 60691 and 60708.
LCM(60691,60708) = 1371 × 4431 × 22 × 31 × 50591
LCM(60691,60708) = 3684429228
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