What is the Least Common Multiple of 64394 and 64402?
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 64394 and 64402 is 2073551194.
LCM(64394,64402) = 2073551194
Least Common Multiple of 64394 and 64402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64394 and 64402, than apply into the LCM equation.
GCF(64394,64402) = 2
LCM(64394,64402) = ( 64394 × 64402) / 2
LCM(64394,64402) = 4147102388 / 2
LCM(64394,64402) = 2073551194
Least Common Multiple (LCM) of 64394 and 64402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64394 and 64402. First we will calculate the prime factors of 64394 and 64402.
Prime Factorization of 64394
Prime factors of 64394 are 2, 11, 2927. Prime factorization of 64394 in exponential form is:
64394 = 21 × 111 × 29271
Prime Factorization of 64402
Prime factors of 64402 are 2, 13, 2477. Prime factorization of 64402 in exponential form is:
64402 = 21 × 131 × 24771
Now multiplying the highest exponent prime factors to calculate the LCM of 64394 and 64402.
LCM(64394,64402) = 21 × 111 × 29271 × 131 × 24771
LCM(64394,64402) = 2073551194
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