What is the Least Common Multiple of 60083 and 60094?
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 60083 and 60094 is 3610627802.
LCM(60083,60094) = 3610627802
Least Common Multiple of 60083 and 60094 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60083 and 60094, than apply into the LCM equation.
GCF(60083,60094) = 1
LCM(60083,60094) = ( 60083 × 60094) / 1
LCM(60083,60094) = 3610627802 / 1
LCM(60083,60094) = 3610627802
Least Common Multiple (LCM) of 60083 and 60094 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60083 and 60094. First we will calculate the prime factors of 60083 and 60094.
Prime Factorization of 60083
Prime factors of 60083 are 60083. Prime factorization of 60083 in exponential form is:
60083 = 600831
Prime Factorization of 60094
Prime factors of 60094 are 2, 30047. Prime factorization of 60094 in exponential form is:
60094 = 21 × 300471
Now multiplying the highest exponent prime factors to calculate the LCM of 60083 and 60094.
LCM(60083,60094) = 600831 × 21 × 300471
LCM(60083,60094) = 3610627802
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