What is the Least Common Multiple of 64930 and 64934?
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 64930 and 64934 is 2108082310.
LCM(64930,64934) = 2108082310
Least Common Multiple of 64930 and 64934 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64930 and 64934, than apply into the LCM equation.
GCF(64930,64934) = 2
LCM(64930,64934) = ( 64930 × 64934) / 2
LCM(64930,64934) = 4216164620 / 2
LCM(64930,64934) = 2108082310
Least Common Multiple (LCM) of 64930 and 64934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64930 and 64934. First we will calculate the prime factors of 64930 and 64934.
Prime Factorization of 64930
Prime factors of 64930 are 2, 5, 43, 151. Prime factorization of 64930 in exponential form is:
64930 = 21 × 51 × 431 × 1511
Prime Factorization of 64934
Prime factors of 64934 are 2, 32467. Prime factorization of 64934 in exponential form is:
64934 = 21 × 324671
Now multiplying the highest exponent prime factors to calculate the LCM of 64930 and 64934.
LCM(64930,64934) = 21 × 51 × 431 × 1511 × 324671
LCM(64930,64934) = 2108082310
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