What is the Least Common Multiple of 60542 and 60556?
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 60542 and 60556 is 1833090676.
LCM(60542,60556) = 1833090676
Least Common Multiple of 60542 and 60556 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60542 and 60556, than apply into the LCM equation.
GCF(60542,60556) = 2
LCM(60542,60556) = ( 60542 × 60556) / 2
LCM(60542,60556) = 3666181352 / 2
LCM(60542,60556) = 1833090676
Least Common Multiple (LCM) of 60542 and 60556 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60542 and 60556. First we will calculate the prime factors of 60542 and 60556.
Prime Factorization of 60542
Prime factors of 60542 are 2, 30271. Prime factorization of 60542 in exponential form is:
60542 = 21 × 302711
Prime Factorization of 60556
Prime factors of 60556 are 2, 15139. Prime factorization of 60556 in exponential form is:
60556 = 22 × 151391
Now multiplying the highest exponent prime factors to calculate the LCM of 60542 and 60556.
LCM(60542,60556) = 22 × 302711 × 151391
LCM(60542,60556) = 1833090676
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