What is the Least Common Multiple of 64336 and 64354?
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 64336 and 64354 is 2070139472.
LCM(64336,64354) = 2070139472
Least Common Multiple of 64336 and 64354 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64336 and 64354, than apply into the LCM equation.
GCF(64336,64354) = 2
LCM(64336,64354) = ( 64336 × 64354) / 2
LCM(64336,64354) = 4140278944 / 2
LCM(64336,64354) = 2070139472
Least Common Multiple (LCM) of 64336 and 64354 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64336 and 64354. First we will calculate the prime factors of 64336 and 64354.
Prime Factorization of 64336
Prime factors of 64336 are 2, 4021. Prime factorization of 64336 in exponential form is:
64336 = 24 × 40211
Prime Factorization of 64354
Prime factors of 64354 are 2, 23, 1399. Prime factorization of 64354 in exponential form is:
64354 = 21 × 231 × 13991
Now multiplying the highest exponent prime factors to calculate the LCM of 64336 and 64354.
LCM(64336,64354) = 24 × 40211 × 231 × 13991
LCM(64336,64354) = 2070139472
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