What is the Least Common Multiple of 64874 and 64879?
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 64874 and 64879 is 4208960246.
LCM(64874,64879) = 4208960246
Least Common Multiple of 64874 and 64879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64874 and 64879, than apply into the LCM equation.
GCF(64874,64879) = 1
LCM(64874,64879) = ( 64874 × 64879) / 1
LCM(64874,64879) = 4208960246 / 1
LCM(64874,64879) = 4208960246
Least Common Multiple (LCM) of 64874 and 64879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64874 and 64879. First we will calculate the prime factors of 64874 and 64879.
Prime Factorization of 64874
Prime factors of 64874 are 2, 163, 199. Prime factorization of 64874 in exponential form is:
64874 = 21 × 1631 × 1991
Prime Factorization of 64879
Prime factors of 64879 are 64879. Prime factorization of 64879 in exponential form is:
64879 = 648791
Now multiplying the highest exponent prime factors to calculate the LCM of 64874 and 64879.
LCM(64874,64879) = 21 × 1631 × 1991 × 648791
LCM(64874,64879) = 4208960246
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