What is the Least Common Multiple of 70488 and 70496?

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 of 70488 and 70496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70488 and 70496, than apply into the LCM equation.

GCF(70488,70496) = 8
LCM(70488,70496) = ( 70488 × 70496) / 8
LCM(70488,70496) = 4969122048 / 8
LCM(70488,70496) = 621140256

Least Common Multiple (LCM) of 70488 and 70496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70488 and 70496. First we will calculate the prime factors of 70488 and 70496.

Prime Factorization of 70488

Prime Factorization of 70496

Now multiplying the highest exponent prime factors to calculate the LCM of 70488 and 70496.

LCM(70488,70496) = 2⁵ × 3² × 11¹ × 89¹ × 2203¹
LCM(70488,70496) = 621140256