What is the Least Common Multiple of 64898 and 64902?
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 64902 is 2106004998.
LCM(64898,64902) = 2106004998
Least Common Multiple of 64898 and 64902 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 64902, than apply into the LCM equation.
GCF(64898,64902) = 2
LCM(64898,64902) = ( 64898 × 64902) / 2
LCM(64898,64902) = 4212009996 / 2
LCM(64898,64902) = 2106004998
Least Common Multiple (LCM) of 64898 and 64902 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64898 and 64902. First we will calculate the prime factors of 64898 and 64902.
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 64902
Prime factors of 64902 are 2, 3, 29, 373. Prime factorization of 64902 in exponential form is:
64902 = 21 × 31 × 291 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 64898 and 64902.
LCM(64898,64902) = 21 × 371 × 8771 × 31 × 291 × 3731
LCM(64898,64902) = 2106004998
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