GCF and LCM Calculator Logo

What is the Least Common Multiple of 40649 and 40653?

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 40649 and 40653 is 1652503797.

LCM(40649,40653) = 1652503797

LCM Calculator and
and

Least Common Multiple of 40649 and 40653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40649 and 40653, than apply into the LCM equation.

GCF(40649,40653) = 1
LCM(40649,40653) = ( 40649 × 40653) / 1
LCM(40649,40653) = 1652503797 / 1
LCM(40649,40653) = 1652503797

Least Common Multiple (LCM) of 40649 and 40653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40649 and 40653. First we will calculate the prime factors of 40649 and 40653.

Prime Factorization of 40649

Prime factors of 40649 are 7, 5807. Prime factorization of 40649 in exponential form is:

40649 = 71 × 58071

Prime Factorization of 40653

Prime factors of 40653 are 3, 4517. Prime factorization of 40653 in exponential form is:

40653 = 32 × 45171

Now multiplying the highest exponent prime factors to calculate the LCM of 40649 and 40653.

LCM(40649,40653) = 71 × 58071 × 32 × 45171
LCM(40649,40653) = 1652503797