What is the Least Common Multiple of 64202 and 64211?
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 64202 and 64211 is 4122474622.
LCM(64202,64211) = 4122474622
Least Common Multiple of 64202 and 64211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64202 and 64211, than apply into the LCM equation.
GCF(64202,64211) = 1
LCM(64202,64211) = ( 64202 × 64211) / 1
LCM(64202,64211) = 4122474622 / 1
LCM(64202,64211) = 4122474622
Least Common Multiple (LCM) of 64202 and 64211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64202 and 64211. First we will calculate the prime factors of 64202 and 64211.
Prime Factorization of 64202
Prime factors of 64202 are 2, 47, 683. Prime factorization of 64202 in exponential form is:
64202 = 21 × 471 × 6831
Prime Factorization of 64211
Prime factors of 64211 are 7, 9173. Prime factorization of 64211 in exponential form is:
64211 = 71 × 91731
Now multiplying the highest exponent prime factors to calculate the LCM of 64202 and 64211.
LCM(64202,64211) = 21 × 471 × 6831 × 71 × 91731
LCM(64202,64211) = 4122474622
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