What is the Least Common Multiple of 64087 and 64100?
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 64087 and 64100 is 4107976700.
LCM(64087,64100) = 4107976700
Least Common Multiple of 64087 and 64100 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64087 and 64100, than apply into the LCM equation.
GCF(64087,64100) = 1
LCM(64087,64100) = ( 64087 × 64100) / 1
LCM(64087,64100) = 4107976700 / 1
LCM(64087,64100) = 4107976700
Least Common Multiple (LCM) of 64087 and 64100 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64087 and 64100. First we will calculate the prime factors of 64087 and 64100.
Prime Factorization of 64087
Prime factors of 64087 are 19, 3373. Prime factorization of 64087 in exponential form is:
64087 = 191 × 33731
Prime Factorization of 64100
Prime factors of 64100 are 2, 5, 641. Prime factorization of 64100 in exponential form is:
64100 = 22 × 52 × 6411
Now multiplying the highest exponent prime factors to calculate the LCM of 64087 and 64100.
LCM(64087,64100) = 191 × 33731 × 22 × 52 × 6411
LCM(64087,64100) = 4107976700
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