GCF and LCM Calculator Logo

What is the Least Common Multiple of 27425 and 27445?

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 27425 and 27445 is 150535825.

LCM(27425,27445) = 150535825

LCM Calculator and
and

Least Common Multiple of 27425 and 27445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27425 and 27445, than apply into the LCM equation.

GCF(27425,27445) = 5
LCM(27425,27445) = ( 27425 × 27445) / 5
LCM(27425,27445) = 752679125 / 5
LCM(27425,27445) = 150535825

Least Common Multiple (LCM) of 27425 and 27445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27425 and 27445. First we will calculate the prime factors of 27425 and 27445.

Prime Factorization of 27425

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

27425 = 52 × 10971

Prime Factorization of 27445

Prime factors of 27445 are 5, 11, 499. Prime factorization of 27445 in exponential form is:

27445 = 51 × 111 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 27425 and 27445.

LCM(27425,27445) = 52 × 10971 × 111 × 4991
LCM(27425,27445) = 150535825