What is the Least Common Multiple of 70784 and 70801?

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 70801 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 70801, than apply into the LCM equation.

GCF(70784,70801) = 1
LCM(70784,70801) = ( 70784 × 70801) / 1
LCM(70784,70801) = 5011577984 / 1
LCM(70784,70801) = 5011577984

Least Common Multiple (LCM) of 70784 and 70801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70784 and 70801. First we will calculate the prime factors of 70784 and 70801.

Prime Factorization of 70784

Prime Factorization of 70801

Now multiplying the highest exponent prime factors to calculate the LCM of 70784 and 70801.

LCM(70784,70801) = 2⁷ × 7¹ × 79¹ × 101¹ × 701¹
LCM(70784,70801) = 5011577984