GCF and LCM Calculator Logo

What is the Least Common Multiple of 84498 and 84505?

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 84498 and 84505 is 7140503490.

LCM(84498,84505) = 7140503490

LCM Calculator and
and

Least Common Multiple of 84498 and 84505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84498 and 84505, than apply into the LCM equation.

GCF(84498,84505) = 1
LCM(84498,84505) = ( 84498 × 84505) / 1
LCM(84498,84505) = 7140503490 / 1
LCM(84498,84505) = 7140503490

Least Common Multiple (LCM) of 84498 and 84505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84498 and 84505. First we will calculate the prime factors of 84498 and 84505.

Prime Factorization of 84498

Prime factors of 84498 are 2, 3, 14083. Prime factorization of 84498 in exponential form is:

84498 = 21 × 31 × 140831

Prime Factorization of 84505

Prime factors of 84505 are 5, 16901. Prime factorization of 84505 in exponential form is:

84505 = 51 × 169011

Now multiplying the highest exponent prime factors to calculate the LCM of 84498 and 84505.

LCM(84498,84505) = 21 × 31 × 140831 × 51 × 169011
LCM(84498,84505) = 7140503490