What is the Least Common Multiple of 60551 and 60558?
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 60551 and 60558 is 3666847458.
LCM(60551,60558) = 3666847458
Least Common Multiple of 60551 and 60558 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60551 and 60558, than apply into the LCM equation.
GCF(60551,60558) = 1
LCM(60551,60558) = ( 60551 × 60558) / 1
LCM(60551,60558) = 3666847458 / 1
LCM(60551,60558) = 3666847458
Least Common Multiple (LCM) of 60551 and 60558 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60551 and 60558. First we will calculate the prime factors of 60551 and 60558.
Prime Factorization of 60551
Prime factors of 60551 are 151, 401. Prime factorization of 60551 in exponential form is:
60551 = 1511 × 4011
Prime Factorization of 60558
Prime factors of 60558 are 2, 3, 10093. Prime factorization of 60558 in exponential form is:
60558 = 21 × 31 × 100931
Now multiplying the highest exponent prime factors to calculate the LCM of 60551 and 60558.
LCM(60551,60558) = 1511 × 4011 × 21 × 31 × 100931
LCM(60551,60558) = 3666847458
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