What is the Least Common Multiple of 60246 and 60265?
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 60246 and 60265 is 3630725190.
LCM(60246,60265) = 3630725190
Least Common Multiple of 60246 and 60265 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60246 and 60265, than apply into the LCM equation.
GCF(60246,60265) = 1
LCM(60246,60265) = ( 60246 × 60265) / 1
LCM(60246,60265) = 3630725190 / 1
LCM(60246,60265) = 3630725190
Least Common Multiple (LCM) of 60246 and 60265 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60246 and 60265. First we will calculate the prime factors of 60246 and 60265.
Prime Factorization of 60246
Prime factors of 60246 are 2, 3, 3347. Prime factorization of 60246 in exponential form is:
60246 = 21 × 32 × 33471
Prime Factorization of 60265
Prime factors of 60265 are 5, 17, 709. Prime factorization of 60265 in exponential form is:
60265 = 51 × 171 × 7091
Now multiplying the highest exponent prime factors to calculate the LCM of 60246 and 60265.
LCM(60246,60265) = 21 × 32 × 33471 × 51 × 171 × 7091
LCM(60246,60265) = 3630725190
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