What is the Least Common Multiple of 56625 and 56636?
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 56625 and 56636 is 3207013500.
LCM(56625,56636) = 3207013500
Least Common Multiple of 56625 and 56636 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56625 and 56636, than apply into the LCM equation.
GCF(56625,56636) = 1
LCM(56625,56636) = ( 56625 × 56636) / 1
LCM(56625,56636) = 3207013500 / 1
LCM(56625,56636) = 3207013500
Least Common Multiple (LCM) of 56625 and 56636 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56625 and 56636. First we will calculate the prime factors of 56625 and 56636.
Prime Factorization of 56625
Prime factors of 56625 are 3, 5, 151. Prime factorization of 56625 in exponential form is:
56625 = 31 × 53 × 1511
Prime Factorization of 56636
Prime factors of 56636 are 2, 14159. Prime factorization of 56636 in exponential form is:
56636 = 22 × 141591
Now multiplying the highest exponent prime factors to calculate the LCM of 56625 and 56636.
LCM(56625,56636) = 31 × 53 × 1511 × 22 × 141591
LCM(56625,56636) = 3207013500
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