GCF and LCM Calculator Logo

What is the Least Common Multiple of 45265 and 45278?

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 45265 and 45278 is 2049508670.

LCM(45265,45278) = 2049508670

LCM Calculator and
and

Least Common Multiple of 45265 and 45278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45265 and 45278, than apply into the LCM equation.

GCF(45265,45278) = 1
LCM(45265,45278) = ( 45265 × 45278) / 1
LCM(45265,45278) = 2049508670 / 1
LCM(45265,45278) = 2049508670

Least Common Multiple (LCM) of 45265 and 45278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45265 and 45278. First we will calculate the prime factors of 45265 and 45278.

Prime Factorization of 45265

Prime factors of 45265 are 5, 11, 823. Prime factorization of 45265 in exponential form is:

45265 = 51 × 111 × 8231

Prime Factorization of 45278

Prime factors of 45278 are 2, 22639. Prime factorization of 45278 in exponential form is:

45278 = 21 × 226391

Now multiplying the highest exponent prime factors to calculate the LCM of 45265 and 45278.

LCM(45265,45278) = 51 × 111 × 8231 × 21 × 226391
LCM(45265,45278) = 2049508670