GCF and LCM Calculator Logo

What is the Least Common Multiple of 27469 and 27480?

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 27469 and 27480 is 754848120.

LCM(27469,27480) = 754848120

LCM Calculator and
and

Least Common Multiple of 27469 and 27480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27469 and 27480, than apply into the LCM equation.

GCF(27469,27480) = 1
LCM(27469,27480) = ( 27469 × 27480) / 1
LCM(27469,27480) = 754848120 / 1
LCM(27469,27480) = 754848120

Least Common Multiple (LCM) of 27469 and 27480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27469 and 27480. First we will calculate the prime factors of 27469 and 27480.

Prime Factorization of 27469

Prime factors of 27469 are 13, 2113. Prime factorization of 27469 in exponential form is:

27469 = 131 × 21131

Prime Factorization of 27480

Prime factors of 27480 are 2, 3, 5, 229. Prime factorization of 27480 in exponential form is:

27480 = 23 × 31 × 51 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 27469 and 27480.

LCM(27469,27480) = 131 × 21131 × 23 × 31 × 51 × 2291
LCM(27469,27480) = 754848120