What is the Least Common Multiple of 64840 and 64846?
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 64840 and 64846 is 2102307320.
LCM(64840,64846) = 2102307320
Least Common Multiple of 64840 and 64846 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64840 and 64846, than apply into the LCM equation.
GCF(64840,64846) = 2
LCM(64840,64846) = ( 64840 × 64846) / 2
LCM(64840,64846) = 4204614640 / 2
LCM(64840,64846) = 2102307320
Least Common Multiple (LCM) of 64840 and 64846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64840 and 64846. First we will calculate the prime factors of 64840 and 64846.
Prime Factorization of 64840
Prime factors of 64840 are 2, 5, 1621. Prime factorization of 64840 in exponential form is:
64840 = 23 × 51 × 16211
Prime Factorization of 64846
Prime factors of 64846 are 2, 32423. Prime factorization of 64846 in exponential form is:
64846 = 21 × 324231
Now multiplying the highest exponent prime factors to calculate the LCM of 64840 and 64846.
LCM(64840,64846) = 23 × 51 × 16211 × 324231
LCM(64840,64846) = 2102307320
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