What is the Least Common Multiple of 64501 and 64510?
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 64501 and 64510 is 4160959510.
LCM(64501,64510) = 4160959510
Least Common Multiple of 64501 and 64510 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64501 and 64510, than apply into the LCM equation.
GCF(64501,64510) = 1
LCM(64501,64510) = ( 64501 × 64510) / 1
LCM(64501,64510) = 4160959510 / 1
LCM(64501,64510) = 4160959510
Least Common Multiple (LCM) of 64501 and 64510 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64501 and 64510. First we will calculate the prime factors of 64501 and 64510.
Prime Factorization of 64501
Prime factors of 64501 are 53, 1217. Prime factorization of 64501 in exponential form is:
64501 = 531 × 12171
Prime Factorization of 64510
Prime factors of 64510 are 2, 5, 6451. Prime factorization of 64510 in exponential form is:
64510 = 21 × 51 × 64511
Now multiplying the highest exponent prime factors to calculate the LCM of 64501 and 64510.
LCM(64501,64510) = 531 × 12171 × 21 × 51 × 64511
LCM(64501,64510) = 4160959510
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