What is the Least Common Multiple of 60039 and 60058?
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 60039 and 60058 is 3605822262.
LCM(60039,60058) = 3605822262
Least Common Multiple of 60039 and 60058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60039 and 60058, than apply into the LCM equation.
GCF(60039,60058) = 1
LCM(60039,60058) = ( 60039 × 60058) / 1
LCM(60039,60058) = 3605822262 / 1
LCM(60039,60058) = 3605822262
Least Common Multiple (LCM) of 60039 and 60058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60039 and 60058. First we will calculate the prime factors of 60039 and 60058.
Prime Factorization of 60039
Prime factors of 60039 are 3, 7, 953. Prime factorization of 60039 in exponential form is:
60039 = 32 × 71 × 9531
Prime Factorization of 60058
Prime factors of 60058 are 2, 30029. Prime factorization of 60058 in exponential form is:
60058 = 21 × 300291
Now multiplying the highest exponent prime factors to calculate the LCM of 60039 and 60058.
LCM(60039,60058) = 32 × 71 × 9531 × 21 × 300291
LCM(60039,60058) = 3605822262
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