What is the Least Common Multiple of 60046 and 60050?
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 60046 and 60050 is 1802881150.
LCM(60046,60050) = 1802881150
Least Common Multiple of 60046 and 60050 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60046 and 60050, than apply into the LCM equation.
GCF(60046,60050) = 2
LCM(60046,60050) = ( 60046 × 60050) / 2
LCM(60046,60050) = 3605762300 / 2
LCM(60046,60050) = 1802881150
Least Common Multiple (LCM) of 60046 and 60050 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60046 and 60050. First we will calculate the prime factors of 60046 and 60050.
Prime Factorization of 60046
Prime factors of 60046 are 2, 7, 4289. Prime factorization of 60046 in exponential form is:
60046 = 21 × 71 × 42891
Prime Factorization of 60050
Prime factors of 60050 are 2, 5, 1201. Prime factorization of 60050 in exponential form is:
60050 = 21 × 52 × 12011
Now multiplying the highest exponent prime factors to calculate the LCM of 60046 and 60050.
LCM(60046,60050) = 21 × 71 × 42891 × 52 × 12011
LCM(60046,60050) = 1802881150
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