What is the Least Common Multiple of 64836 and 64844?
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 64836 and 64844 is 1051056396.
LCM(64836,64844) = 1051056396
Least Common Multiple of 64836 and 64844 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64836 and 64844, than apply into the LCM equation.
GCF(64836,64844) = 4
LCM(64836,64844) = ( 64836 × 64844) / 4
LCM(64836,64844) = 4204225584 / 4
LCM(64836,64844) = 1051056396
Least Common Multiple (LCM) of 64836 and 64844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64836 and 64844. First we will calculate the prime factors of 64836 and 64844.
Prime Factorization of 64836
Prime factors of 64836 are 2, 3, 1801. Prime factorization of 64836 in exponential form is:
64836 = 22 × 32 × 18011
Prime Factorization of 64844
Prime factors of 64844 are 2, 13, 29, 43. Prime factorization of 64844 in exponential form is:
64844 = 22 × 131 × 291 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 64836 and 64844.
LCM(64836,64844) = 22 × 32 × 18011 × 131 × 291 × 431
LCM(64836,64844) = 1051056396
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