GCF and LCM Calculator Logo

What is the Least Common Multiple of 67506 and 67520?

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 67506 and 67520 is 2279002560.

LCM(67506,67520) = 2279002560

LCM Calculator and
and

Least Common Multiple of 67506 and 67520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67506 and 67520, than apply into the LCM equation.

GCF(67506,67520) = 2
LCM(67506,67520) = ( 67506 × 67520) / 2
LCM(67506,67520) = 4558005120 / 2
LCM(67506,67520) = 2279002560

Least Common Multiple (LCM) of 67506 and 67520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67506 and 67520. First we will calculate the prime factors of 67506 and 67520.

Prime Factorization of 67506

Prime factors of 67506 are 2, 3, 11251. Prime factorization of 67506 in exponential form is:

67506 = 21 × 31 × 112511

Prime Factorization of 67520

Prime factors of 67520 are 2, 5, 211. Prime factorization of 67520 in exponential form is:

67520 = 26 × 51 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 67506 and 67520.

LCM(67506,67520) = 26 × 31 × 112511 × 51 × 2111
LCM(67506,67520) = 2279002560