What is the Least Common Multiple of 65363 and 65377?
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 65363 and 65377 is 4273236851.
LCM(65363,65377) = 4273236851
Least Common Multiple of 65363 and 65377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65363 and 65377, than apply into the LCM equation.
GCF(65363,65377) = 1
LCM(65363,65377) = ( 65363 × 65377) / 1
LCM(65363,65377) = 4273236851 / 1
LCM(65363,65377) = 4273236851
Least Common Multiple (LCM) of 65363 and 65377 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65363 and 65377. First we will calculate the prime factors of 65363 and 65377.
Prime Factorization of 65363
Prime factors of 65363 are 163, 401. Prime factorization of 65363 in exponential form is:
65363 = 1631 × 4011
Prime Factorization of 65377
Prime factors of 65377 are 13, 47, 107. Prime factorization of 65377 in exponential form is:
65377 = 131 × 471 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 65363 and 65377.
LCM(65363,65377) = 1631 × 4011 × 131 × 471 × 1071
LCM(65363,65377) = 4273236851
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