What is the Least Common Multiple of 64852 and 64861?
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 64852 and 64861 is 4206365572.
LCM(64852,64861) = 4206365572
Least Common Multiple of 64852 and 64861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64852 and 64861, than apply into the LCM equation.
GCF(64852,64861) = 1
LCM(64852,64861) = ( 64852 × 64861) / 1
LCM(64852,64861) = 4206365572 / 1
LCM(64852,64861) = 4206365572
Least Common Multiple (LCM) of 64852 and 64861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64852 and 64861. First we will calculate the prime factors of 64852 and 64861.
Prime Factorization of 64852
Prime factors of 64852 are 2, 31, 523. Prime factorization of 64852 in exponential form is:
64852 = 22 × 311 × 5231
Prime Factorization of 64861
Prime factors of 64861 are 37, 1753. Prime factorization of 64861 in exponential form is:
64861 = 371 × 17531
Now multiplying the highest exponent prime factors to calculate the LCM of 64852 and 64861.
LCM(64852,64861) = 22 × 311 × 5231 × 371 × 17531
LCM(64852,64861) = 4206365572
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