What is the Least Common Multiple of 74449 and 74455?
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 74449 and 74455 is 5543100295.
LCM(74449,74455) = 5543100295
Least Common Multiple of 74449 and 74455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74449 and 74455, than apply into the LCM equation.
GCF(74449,74455) = 1
LCM(74449,74455) = ( 74449 × 74455) / 1
LCM(74449,74455) = 5543100295 / 1
LCM(74449,74455) = 5543100295
Least Common Multiple (LCM) of 74449 and 74455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74449 and 74455. First we will calculate the prime factors of 74449 and 74455.
Prime Factorization of 74449
Prime factors of 74449 are 74449. Prime factorization of 74449 in exponential form is:
74449 = 744491
Prime Factorization of 74455
Prime factors of 74455 are 5, 14891. Prime factorization of 74455 in exponential form is:
74455 = 51 × 148911
Now multiplying the highest exponent prime factors to calculate the LCM of 74449 and 74455.
LCM(74449,74455) = 744491 × 51 × 148911
LCM(74449,74455) = 5543100295
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Related Least Common Multiples of 74455
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