GCF and LCM Calculator Logo

What is the Least Common Multiple of 37832 and 37841?

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 37832 and 37841 is 1431600712.

LCM(37832,37841) = 1431600712

LCM Calculator and
and

Least Common Multiple of 37832 and 37841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37832 and 37841, than apply into the LCM equation.

GCF(37832,37841) = 1
LCM(37832,37841) = ( 37832 × 37841) / 1
LCM(37832,37841) = 1431600712 / 1
LCM(37832,37841) = 1431600712

Least Common Multiple (LCM) of 37832 and 37841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37832 and 37841. First we will calculate the prime factors of 37832 and 37841.

Prime Factorization of 37832

Prime factors of 37832 are 2, 4729. Prime factorization of 37832 in exponential form is:

37832 = 23 × 47291

Prime Factorization of 37841

Prime factors of 37841 are 79, 479. Prime factorization of 37841 in exponential form is:

37841 = 791 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 37832 and 37841.

LCM(37832,37841) = 23 × 47291 × 791 × 4791
LCM(37832,37841) = 1431600712