GCF and LCM Calculator Logo

What is the Least Common Multiple of 40632 and 40645?

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 40632 and 40645 is 1651487640.

LCM(40632,40645) = 1651487640

LCM Calculator and
and

Least Common Multiple of 40632 and 40645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40632 and 40645, than apply into the LCM equation.

GCF(40632,40645) = 1
LCM(40632,40645) = ( 40632 × 40645) / 1
LCM(40632,40645) = 1651487640 / 1
LCM(40632,40645) = 1651487640

Least Common Multiple (LCM) of 40632 and 40645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40632 and 40645. First we will calculate the prime factors of 40632 and 40645.

Prime Factorization of 40632

Prime factors of 40632 are 2, 3, 1693. Prime factorization of 40632 in exponential form is:

40632 = 23 × 31 × 16931

Prime Factorization of 40645

Prime factors of 40645 are 5, 11, 739. Prime factorization of 40645 in exponential form is:

40645 = 51 × 111 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 40632 and 40645.

LCM(40632,40645) = 23 × 31 × 16931 × 51 × 111 × 7391
LCM(40632,40645) = 1651487640