What is the Least Common Multiple of 60028 and 60035?
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 60028 and 60035 is 3603780980.
LCM(60028,60035) = 3603780980
Least Common Multiple of 60028 and 60035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60028 and 60035, than apply into the LCM equation.
GCF(60028,60035) = 1
LCM(60028,60035) = ( 60028 × 60035) / 1
LCM(60028,60035) = 3603780980 / 1
LCM(60028,60035) = 3603780980
Least Common Multiple (LCM) of 60028 and 60035 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60028 and 60035. First we will calculate the prime factors of 60028 and 60035.
Prime Factorization of 60028
Prime factors of 60028 are 2, 43, 349. Prime factorization of 60028 in exponential form is:
60028 = 22 × 431 × 3491
Prime Factorization of 60035
Prime factors of 60035 are 5, 12007. Prime factorization of 60035 in exponential form is:
60035 = 51 × 120071
Now multiplying the highest exponent prime factors to calculate the LCM of 60028 and 60035.
LCM(60028,60035) = 22 × 431 × 3491 × 51 × 120071
LCM(60028,60035) = 3603780980
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