What is the Least Common Multiple of 70784 and 70800?

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 70784 and 70800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70784 and 70800, than apply into the LCM equation.

GCF(70784,70800) = 16
LCM(70784,70800) = ( 70784 × 70800) / 16
LCM(70784,70800) = 5011507200 / 16
LCM(70784,70800) = 313219200

Least Common Multiple (LCM) of 70784 and 70800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70784 and 70800. First we will calculate the prime factors of 70784 and 70800.

Prime Factorization of 70784

Prime Factorization of 70800

Now multiplying the highest exponent prime factors to calculate the LCM of 70784 and 70800.

LCM(70784,70800) = 2⁷ × 7¹ × 79¹ × 3¹ × 5² × 59¹
LCM(70784,70800) = 313219200