What is the Least Common Multiple of 65412 and 65425?
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 65412 and 65425 is 4279580100.
LCM(65412,65425) = 4279580100
Least Common Multiple of 65412 and 65425 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65412 and 65425, than apply into the LCM equation.
GCF(65412,65425) = 1
LCM(65412,65425) = ( 65412 × 65425) / 1
LCM(65412,65425) = 4279580100 / 1
LCM(65412,65425) = 4279580100
Least Common Multiple (LCM) of 65412 and 65425 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65412 and 65425. First we will calculate the prime factors of 65412 and 65425.
Prime Factorization of 65412
Prime factors of 65412 are 2, 3, 23, 79. Prime factorization of 65412 in exponential form is:
65412 = 22 × 32 × 231 × 791
Prime Factorization of 65425
Prime factors of 65425 are 5, 2617. Prime factorization of 65425 in exponential form is:
65425 = 52 × 26171
Now multiplying the highest exponent prime factors to calculate the LCM of 65412 and 65425.
LCM(65412,65425) = 22 × 32 × 231 × 791 × 52 × 26171
LCM(65412,65425) = 4279580100
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