What is the Least Common Multiple of 64303 and 64310?
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 64303 and 64310 is 4135325930.
LCM(64303,64310) = 4135325930
Least Common Multiple of 64303 and 64310 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64303 and 64310, than apply into the LCM equation.
GCF(64303,64310) = 1
LCM(64303,64310) = ( 64303 × 64310) / 1
LCM(64303,64310) = 4135325930 / 1
LCM(64303,64310) = 4135325930
Least Common Multiple (LCM) of 64303 and 64310 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64303 and 64310. First we will calculate the prime factors of 64303 and 64310.
Prime Factorization of 64303
Prime factors of 64303 are 64303. Prime factorization of 64303 in exponential form is:
64303 = 643031
Prime Factorization of 64310
Prime factors of 64310 are 2, 5, 59, 109. Prime factorization of 64310 in exponential form is:
64310 = 21 × 51 × 591 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 64303 and 64310.
LCM(64303,64310) = 643031 × 21 × 51 × 591 × 1091
LCM(64303,64310) = 4135325930
Related Least Common Multiples of 64303
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Related Least Common Multiples of 64310
- LCM of 64310 and 64314
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- LCM of 64310 and 64316
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- LCM of 64310 and 64330