What is the Least Common Multiple of 60635 and 60650?
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 60635 and 60650 is 735502550.
LCM(60635,60650) = 735502550
Least Common Multiple of 60635 and 60650 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60635 and 60650, than apply into the LCM equation.
GCF(60635,60650) = 5
LCM(60635,60650) = ( 60635 × 60650) / 5
LCM(60635,60650) = 3677512750 / 5
LCM(60635,60650) = 735502550
Least Common Multiple (LCM) of 60635 and 60650 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60635 and 60650. First we will calculate the prime factors of 60635 and 60650.
Prime Factorization of 60635
Prime factors of 60635 are 5, 67, 181. Prime factorization of 60635 in exponential form is:
60635 = 51 × 671 × 1811
Prime Factorization of 60650
Prime factors of 60650 are 2, 5, 1213. Prime factorization of 60650 in exponential form is:
60650 = 21 × 52 × 12131
Now multiplying the highest exponent prime factors to calculate the LCM of 60635 and 60650.
LCM(60635,60650) = 52 × 671 × 1811 × 21 × 12131
LCM(60635,60650) = 735502550
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