What is the Least Common Multiple of 53236 and 53245?
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 53236 and 53245 is 2834550820.
LCM(53236,53245) = 2834550820
Least Common Multiple of 53236 and 53245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53236 and 53245, than apply into the LCM equation.
GCF(53236,53245) = 1
LCM(53236,53245) = ( 53236 × 53245) / 1
LCM(53236,53245) = 2834550820 / 1
LCM(53236,53245) = 2834550820
Least Common Multiple (LCM) of 53236 and 53245 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53236 and 53245. First we will calculate the prime factors of 53236 and 53245.
Prime Factorization of 53236
Prime factors of 53236 are 2, 13309. Prime factorization of 53236 in exponential form is:
53236 = 22 × 133091
Prime Factorization of 53245
Prime factors of 53245 are 5, 23, 463. Prime factorization of 53245 in exponential form is:
53245 = 51 × 231 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 53236 and 53245.
LCM(53236,53245) = 22 × 133091 × 51 × 231 × 4631
LCM(53236,53245) = 2834550820
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