What is the Least Common Multiple of 65780 and 65794?
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 65780 and 65794 is 2163964660.
LCM(65780,65794) = 2163964660
Least Common Multiple of 65780 and 65794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65780 and 65794, than apply into the LCM equation.
GCF(65780,65794) = 2
LCM(65780,65794) = ( 65780 × 65794) / 2
LCM(65780,65794) = 4327929320 / 2
LCM(65780,65794) = 2163964660
Least Common Multiple (LCM) of 65780 and 65794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65780 and 65794. First we will calculate the prime factors of 65780 and 65794.
Prime Factorization of 65780
Prime factors of 65780 are 2, 5, 11, 13, 23. Prime factorization of 65780 in exponential form is:
65780 = 22 × 51 × 111 × 131 × 231
Prime Factorization of 65794
Prime factors of 65794 are 2, 67, 491. Prime factorization of 65794 in exponential form is:
65794 = 21 × 671 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 65780 and 65794.
LCM(65780,65794) = 22 × 51 × 111 × 131 × 231 × 671 × 4911
LCM(65780,65794) = 2163964660
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