What is the Least Common Multiple of 64898 and 64903?
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 64898 and 64903 is 4212074894.
LCM(64898,64903) = 4212074894
Least Common Multiple of 64898 and 64903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64898 and 64903, than apply into the LCM equation.
GCF(64898,64903) = 1
LCM(64898,64903) = ( 64898 × 64903) / 1
LCM(64898,64903) = 4212074894 / 1
LCM(64898,64903) = 4212074894
Least Common Multiple (LCM) of 64898 and 64903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64898 and 64903. First we will calculate the prime factors of 64898 and 64903.
Prime Factorization of 64898
Prime factors of 64898 are 2, 37, 877. Prime factorization of 64898 in exponential form is:
64898 = 21 × 371 × 8771
Prime Factorization of 64903
Prime factors of 64903 are 41, 1583. Prime factorization of 64903 in exponential form is:
64903 = 411 × 15831
Now multiplying the highest exponent prime factors to calculate the LCM of 64898 and 64903.
LCM(64898,64903) = 21 × 371 × 8771 × 411 × 15831
LCM(64898,64903) = 4212074894
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