What is the Least Common Multiple of 64325 and 64336?
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 64325 and 64336 is 4138413200.
LCM(64325,64336) = 4138413200
Least Common Multiple of 64325 and 64336 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64325 and 64336, than apply into the LCM equation.
GCF(64325,64336) = 1
LCM(64325,64336) = ( 64325 × 64336) / 1
LCM(64325,64336) = 4138413200 / 1
LCM(64325,64336) = 4138413200
Least Common Multiple (LCM) of 64325 and 64336 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64325 and 64336. First we will calculate the prime factors of 64325 and 64336.
Prime Factorization of 64325
Prime factors of 64325 are 5, 31, 83. Prime factorization of 64325 in exponential form is:
64325 = 52 × 311 × 831
Prime Factorization of 64336
Prime factors of 64336 are 2, 4021. Prime factorization of 64336 in exponential form is:
64336 = 24 × 40211
Now multiplying the highest exponent prime factors to calculate the LCM of 64325 and 64336.
LCM(64325,64336) = 52 × 311 × 831 × 24 × 40211
LCM(64325,64336) = 4138413200
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