GCF and LCM Calculator Logo

What is the Least Common Multiple of 67472 and 67480?

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 67472 and 67480 is 569126320.

LCM(67472,67480) = 569126320

LCM Calculator and
and

Least Common Multiple of 67472 and 67480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67472 and 67480, than apply into the LCM equation.

GCF(67472,67480) = 8
LCM(67472,67480) = ( 67472 × 67480) / 8
LCM(67472,67480) = 4553010560 / 8
LCM(67472,67480) = 569126320

Least Common Multiple (LCM) of 67472 and 67480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67472 and 67480. First we will calculate the prime factors of 67472 and 67480.

Prime Factorization of 67472

Prime factors of 67472 are 2, 4217. Prime factorization of 67472 in exponential form is:

67472 = 24 × 42171

Prime Factorization of 67480

Prime factors of 67480 are 2, 5, 7, 241. Prime factorization of 67480 in exponential form is:

67480 = 23 × 51 × 71 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 67472 and 67480.

LCM(67472,67480) = 24 × 42171 × 51 × 71 × 2411
LCM(67472,67480) = 569126320