What is the Least Common Multiple of 60626 and 60644?
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 60626 and 60644 is 1838301572.
LCM(60626,60644) = 1838301572
Least Common Multiple of 60626 and 60644 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60626 and 60644, than apply into the LCM equation.
GCF(60626,60644) = 2
LCM(60626,60644) = ( 60626 × 60644) / 2
LCM(60626,60644) = 3676603144 / 2
LCM(60626,60644) = 1838301572
Least Common Multiple (LCM) of 60626 and 60644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60626 and 60644. First we will calculate the prime factors of 60626 and 60644.
Prime Factorization of 60626
Prime factors of 60626 are 2, 30313. Prime factorization of 60626 in exponential form is:
60626 = 21 × 303131
Prime Factorization of 60644
Prime factors of 60644 are 2, 15161. Prime factorization of 60644 in exponential form is:
60644 = 22 × 151611
Now multiplying the highest exponent prime factors to calculate the LCM of 60626 and 60644.
LCM(60626,60644) = 22 × 303131 × 151611
LCM(60626,60644) = 1838301572
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