What is the Least Common Multiple of 25611 and 25618?
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 25611 and 25618 is 656102598.
LCM(25611,25618) = 656102598
Least Common Multiple of 25611 and 25618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25611 and 25618, than apply into the LCM equation.
GCF(25611,25618) = 1
LCM(25611,25618) = ( 25611 × 25618) / 1
LCM(25611,25618) = 656102598 / 1
LCM(25611,25618) = 656102598
Least Common Multiple (LCM) of 25611 and 25618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25611 and 25618. First we will calculate the prime factors of 25611 and 25618.
Prime Factorization of 25611
Prime factors of 25611 are 3, 8537. Prime factorization of 25611 in exponential form is:
25611 = 31 × 85371
Prime Factorization of 25618
Prime factors of 25618 are 2, 12809. Prime factorization of 25618 in exponential form is:
25618 = 21 × 128091
Now multiplying the highest exponent prime factors to calculate the LCM of 25611 and 25618.
LCM(25611,25618) = 31 × 85371 × 21 × 128091
LCM(25611,25618) = 656102598
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