What is the Least Common Multiple of 53245 and 53252?
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 53245 and 53252 is 2835402740.
LCM(53245,53252) = 2835402740
Least Common Multiple of 53245 and 53252 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53245 and 53252, than apply into the LCM equation.
GCF(53245,53252) = 1
LCM(53245,53252) = ( 53245 × 53252) / 1
LCM(53245,53252) = 2835402740 / 1
LCM(53245,53252) = 2835402740
Least Common Multiple (LCM) of 53245 and 53252 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53245 and 53252. First we will calculate the prime factors of 53245 and 53252.
Prime Factorization of 53245
Prime factors of 53245 are 5, 23, 463. Prime factorization of 53245 in exponential form is:
53245 = 51 × 231 × 4631
Prime Factorization of 53252
Prime factors of 53252 are 2, 13313. Prime factorization of 53252 in exponential form is:
53252 = 22 × 133131
Now multiplying the highest exponent prime factors to calculate the LCM of 53245 and 53252.
LCM(53245,53252) = 51 × 231 × 4631 × 22 × 133131
LCM(53245,53252) = 2835402740
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