What is the Least Common Multiple of 60038 and 60057?
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 60038 and 60057 is 3605702166.
LCM(60038,60057) = 3605702166
Least Common Multiple of 60038 and 60057 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60038 and 60057, than apply into the LCM equation.
GCF(60038,60057) = 1
LCM(60038,60057) = ( 60038 × 60057) / 1
LCM(60038,60057) = 3605702166 / 1
LCM(60038,60057) = 3605702166
Least Common Multiple (LCM) of 60038 and 60057 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60038 and 60057. First we will calculate the prime factors of 60038 and 60057.
Prime Factorization of 60038
Prime factors of 60038 are 2, 11, 2729. Prime factorization of 60038 in exponential form is:
60038 = 21 × 111 × 27291
Prime Factorization of 60057
Prime factors of 60057 are 3, 6673. Prime factorization of 60057 in exponential form is:
60057 = 32 × 66731
Now multiplying the highest exponent prime factors to calculate the LCM of 60038 and 60057.
LCM(60038,60057) = 21 × 111 × 27291 × 32 × 66731
LCM(60038,60057) = 3605702166
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