What is the Least Common Multiple of 70480 and 70499?

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 70480 and 70499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70480 and 70499, than apply into the LCM equation.

GCF(70480,70499) = 1
LCM(70480,70499) = ( 70480 × 70499) / 1
LCM(70480,70499) = 4968769520 / 1
LCM(70480,70499) = 4968769520

Least Common Multiple (LCM) of 70480 and 70499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70480 and 70499. First we will calculate the prime factors of 70480 and 70499.

Prime Factorization of 70480

Prime Factorization of 70499

Now multiplying the highest exponent prime factors to calculate the LCM of 70480 and 70499.

LCM(70480,70499) = 2⁴ × 5¹ × 881¹ × 11¹ × 13¹ × 17¹ × 29¹
LCM(70480,70499) = 4968769520