What is the Least Common Multiple of 570 and 574?
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 570 and 574 is 163590.
LCM(570,574) = 163590
Least Common Multiple of 570 and 574 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 570 and 574, than apply into the LCM equation.
GCF(570,574) = 2
LCM(570,574) = ( 570 × 574) / 2
LCM(570,574) = 327180 / 2
LCM(570,574) = 163590
Least Common Multiple (LCM) of 570 and 574 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 570 and 574. First we will calculate the prime factors of 570 and 574.
Prime Factorization of 570
Prime factors of 570 are 2, 3, 5, 19. Prime factorization of 570 in exponential form is:
570 = 21 × 31 × 51 × 191
Prime Factorization of 574
Prime factors of 574 are 2, 7, 41. Prime factorization of 574 in exponential form is:
574 = 21 × 71 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 570 and 574.
LCM(570,574) = 21 × 31 × 51 × 191 × 71 × 411
LCM(570,574) = 163590
Related Least Common Multiples of 570
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Related Least Common Multiples of 574
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