GCF and LCM Calculator Logo

What is the Least Common Multiple of 67590 and 67602?

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 67590 and 67602 is 761536530.

LCM(67590,67602) = 761536530

LCM Calculator and
and

Least Common Multiple of 67590 and 67602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67590 and 67602, than apply into the LCM equation.

GCF(67590,67602) = 6
LCM(67590,67602) = ( 67590 × 67602) / 6
LCM(67590,67602) = 4569219180 / 6
LCM(67590,67602) = 761536530

Least Common Multiple (LCM) of 67590 and 67602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67590 and 67602. First we will calculate the prime factors of 67590 and 67602.

Prime Factorization of 67590

Prime factors of 67590 are 2, 3, 5, 751. Prime factorization of 67590 in exponential form is:

67590 = 21 × 32 × 51 × 7511

Prime Factorization of 67602

Prime factors of 67602 are 2, 3, 19, 593. Prime factorization of 67602 in exponential form is:

67602 = 21 × 31 × 191 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 67590 and 67602.

LCM(67590,67602) = 21 × 32 × 51 × 7511 × 191 × 5931
LCM(67590,67602) = 761536530