What is the Least Common Multiple of 64451 and 64457?
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 64451 and 64457 is 4154318107.
LCM(64451,64457) = 4154318107
Least Common Multiple of 64451 and 64457 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64451 and 64457, than apply into the LCM equation.
GCF(64451,64457) = 1
LCM(64451,64457) = ( 64451 × 64457) / 1
LCM(64451,64457) = 4154318107 / 1
LCM(64451,64457) = 4154318107
Least Common Multiple (LCM) of 64451 and 64457 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64451 and 64457. First we will calculate the prime factors of 64451 and 64457.
Prime Factorization of 64451
Prime factors of 64451 are 64451. Prime factorization of 64451 in exponential form is:
64451 = 644511
Prime Factorization of 64457
Prime factors of 64457 are 43, 1499. Prime factorization of 64457 in exponential form is:
64457 = 431 × 14991
Now multiplying the highest exponent prime factors to calculate the LCM of 64451 and 64457.
LCM(64451,64457) = 644511 × 431 × 14991
LCM(64451,64457) = 4154318107
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