What is the Least Common Multiple of 64481 and 64490?
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 64481 and 64490 is 4158379690.
LCM(64481,64490) = 4158379690
Least Common Multiple of 64481 and 64490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64481 and 64490, than apply into the LCM equation.
GCF(64481,64490) = 1
LCM(64481,64490) = ( 64481 × 64490) / 1
LCM(64481,64490) = 4158379690 / 1
LCM(64481,64490) = 4158379690
Least Common Multiple (LCM) of 64481 and 64490 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64481 and 64490. First we will calculate the prime factors of 64481 and 64490.
Prime Factorization of 64481
Prime factors of 64481 are 17, 3793. Prime factorization of 64481 in exponential form is:
64481 = 171 × 37931
Prime Factorization of 64490
Prime factors of 64490 are 2, 5, 6449. Prime factorization of 64490 in exponential form is:
64490 = 21 × 51 × 64491
Now multiplying the highest exponent prime factors to calculate the LCM of 64481 and 64490.
LCM(64481,64490) = 171 × 37931 × 21 × 51 × 64491
LCM(64481,64490) = 4158379690
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