GCF and LCM Calculator Logo

What is the Least Common Multiple of 84490 and 84495?

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 84490 and 84495 is 1427796510.

LCM(84490,84495) = 1427796510

LCM Calculator and
and

Least Common Multiple of 84490 and 84495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84490 and 84495, than apply into the LCM equation.

GCF(84490,84495) = 5
LCM(84490,84495) = ( 84490 × 84495) / 5
LCM(84490,84495) = 7138982550 / 5
LCM(84490,84495) = 1427796510

Least Common Multiple (LCM) of 84490 and 84495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84490 and 84495. First we will calculate the prime factors of 84490 and 84495.

Prime Factorization of 84490

Prime factors of 84490 are 2, 5, 7, 17, 71. Prime factorization of 84490 in exponential form is:

84490 = 21 × 51 × 71 × 171 × 711

Prime Factorization of 84495

Prime factors of 84495 are 3, 5, 43, 131. Prime factorization of 84495 in exponential form is:

84495 = 31 × 51 × 431 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 84490 and 84495.

LCM(84490,84495) = 21 × 51 × 71 × 171 × 711 × 31 × 431 × 1311
LCM(84490,84495) = 1427796510