What is the Least Common Multiple of 60557 and 60572?
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 60557 and 60572 is 3668058604.
LCM(60557,60572) = 3668058604
Least Common Multiple of 60557 and 60572 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60557 and 60572, than apply into the LCM equation.
GCF(60557,60572) = 1
LCM(60557,60572) = ( 60557 × 60572) / 1
LCM(60557,60572) = 3668058604 / 1
LCM(60557,60572) = 3668058604
Least Common Multiple (LCM) of 60557 and 60572 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60557 and 60572. First we will calculate the prime factors of 60557 and 60572.
Prime Factorization of 60557
Prime factors of 60557 are 7, 41, 211. Prime factorization of 60557 in exponential form is:
60557 = 71 × 411 × 2111
Prime Factorization of 60572
Prime factors of 60572 are 2, 19, 797. Prime factorization of 60572 in exponential form is:
60572 = 22 × 191 × 7971
Now multiplying the highest exponent prime factors to calculate the LCM of 60557 and 60572.
LCM(60557,60572) = 71 × 411 × 2111 × 22 × 191 × 7971
LCM(60557,60572) = 3668058604
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