GCF and LCM Calculator Logo

What is the Least Common Multiple of 27412 and 27425?

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 27412 and 27425 is 751774100.

LCM(27412,27425) = 751774100

LCM Calculator and
and

Least Common Multiple of 27412 and 27425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27412 and 27425, than apply into the LCM equation.

GCF(27412,27425) = 1
LCM(27412,27425) = ( 27412 × 27425) / 1
LCM(27412,27425) = 751774100 / 1
LCM(27412,27425) = 751774100

Least Common Multiple (LCM) of 27412 and 27425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27412 and 27425. First we will calculate the prime factors of 27412 and 27425.

Prime Factorization of 27412

Prime factors of 27412 are 2, 7, 11, 89. Prime factorization of 27412 in exponential form is:

27412 = 22 × 71 × 111 × 891

Prime Factorization of 27425

Prime factors of 27425 are 5, 1097. Prime factorization of 27425 in exponential form is:

27425 = 52 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 27412 and 27425.

LCM(27412,27425) = 22 × 71 × 111 × 891 × 52 × 10971
LCM(27412,27425) = 751774100