What is the Least Common Multiple of 53568 and 53572?
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 53568 and 53572 is 717436224.
LCM(53568,53572) = 717436224
Least Common Multiple of 53568 and 53572 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53568 and 53572, than apply into the LCM equation.
GCF(53568,53572) = 4
LCM(53568,53572) = ( 53568 × 53572) / 4
LCM(53568,53572) = 2869744896 / 4
LCM(53568,53572) = 717436224
Least Common Multiple (LCM) of 53568 and 53572 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53568 and 53572. First we will calculate the prime factors of 53568 and 53572.
Prime Factorization of 53568
Prime factors of 53568 are 2, 3, 31. Prime factorization of 53568 in exponential form is:
53568 = 26 × 33 × 311
Prime Factorization of 53572
Prime factors of 53572 are 2, 59, 227. Prime factorization of 53572 in exponential form is:
53572 = 22 × 591 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 53568 and 53572.
LCM(53568,53572) = 26 × 33 × 311 × 591 × 2271
LCM(53568,53572) = 717436224
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