What is the Least Common Multiple of 60044 and 60055?
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 60044 and 60055 is 3605942420.
LCM(60044,60055) = 3605942420
Least Common Multiple of 60044 and 60055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60044 and 60055, than apply into the LCM equation.
GCF(60044,60055) = 1
LCM(60044,60055) = ( 60044 × 60055) / 1
LCM(60044,60055) = 3605942420 / 1
LCM(60044,60055) = 3605942420
Least Common Multiple (LCM) of 60044 and 60055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60044 and 60055. First we will calculate the prime factors of 60044 and 60055.
Prime Factorization of 60044
Prime factors of 60044 are 2, 17, 883. Prime factorization of 60044 in exponential form is:
60044 = 22 × 171 × 8831
Prime Factorization of 60055
Prime factors of 60055 are 5, 12011. Prime factorization of 60055 in exponential form is:
60055 = 51 × 120111
Now multiplying the highest exponent prime factors to calculate the LCM of 60044 and 60055.
LCM(60044,60055) = 22 × 171 × 8831 × 51 × 120111
LCM(60044,60055) = 3605942420
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