What is the Least Common Multiple of 22472 and 22479?
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 22472 and 22479 is 505148088.
LCM(22472,22479) = 505148088
Least Common Multiple of 22472 and 22479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22472 and 22479, than apply into the LCM equation.
GCF(22472,22479) = 1
LCM(22472,22479) = ( 22472 × 22479) / 1
LCM(22472,22479) = 505148088 / 1
LCM(22472,22479) = 505148088
Least Common Multiple (LCM) of 22472 and 22479 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22472 and 22479. First we will calculate the prime factors of 22472 and 22479.
Prime Factorization of 22472
Prime factors of 22472 are 2, 53. Prime factorization of 22472 in exponential form is:
22472 = 23 × 532
Prime Factorization of 22479
Prime factors of 22479 are 3, 59, 127. Prime factorization of 22479 in exponential form is:
22479 = 31 × 591 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 22472 and 22479.
LCM(22472,22479) = 23 × 532 × 31 × 591 × 1271
LCM(22472,22479) = 505148088
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