GCF and LCM Calculator Logo

What is the Least Common Multiple of 45469 and 45484?

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 45469 and 45484 is 2068111996.

LCM(45469,45484) = 2068111996

LCM Calculator and
and

Least Common Multiple of 45469 and 45484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45469 and 45484, than apply into the LCM equation.

GCF(45469,45484) = 1
LCM(45469,45484) = ( 45469 × 45484) / 1
LCM(45469,45484) = 2068111996 / 1
LCM(45469,45484) = 2068111996

Least Common Multiple (LCM) of 45469 and 45484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45469 and 45484. First we will calculate the prime factors of 45469 and 45484.

Prime Factorization of 45469

Prime factors of 45469 are 41, 1109. Prime factorization of 45469 in exponential form is:

45469 = 411 × 11091

Prime Factorization of 45484

Prime factors of 45484 are 2, 83, 137. Prime factorization of 45484 in exponential form is:

45484 = 22 × 831 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 45469 and 45484.

LCM(45469,45484) = 411 × 11091 × 22 × 831 × 1371
LCM(45469,45484) = 2068111996