What is the Least Common Multiple of 65766 and 65780?
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 65766 and 65780 is 2163043740.
LCM(65766,65780) = 2163043740
Least Common Multiple of 65766 and 65780 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65766 and 65780, than apply into the LCM equation.
GCF(65766,65780) = 2
LCM(65766,65780) = ( 65766 × 65780) / 2
LCM(65766,65780) = 4326087480 / 2
LCM(65766,65780) = 2163043740
Least Common Multiple (LCM) of 65766 and 65780 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65766 and 65780. First we will calculate the prime factors of 65766 and 65780.
Prime Factorization of 65766
Prime factors of 65766 are 2, 3, 97, 113. Prime factorization of 65766 in exponential form is:
65766 = 21 × 31 × 971 × 1131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 65766 and 65780.
LCM(65766,65780) = 22 × 31 × 971 × 1131 × 51 × 111 × 131 × 231
LCM(65766,65780) = 2163043740
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