What is the Least Common Multiple of 70480 and 70492?

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 70492 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 70492, than apply into the LCM equation.

GCF(70480,70492) = 4
LCM(70480,70492) = ( 70480 × 70492) / 4
LCM(70480,70492) = 4968276160 / 4
LCM(70480,70492) = 1242069040

Least Common Multiple (LCM) of 70480 and 70492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70480 and 70492. First we will calculate the prime factors of 70480 and 70492.

Prime Factorization of 70480

Prime Factorization of 70492

Now multiplying the highest exponent prime factors to calculate the LCM of 70480 and 70492.

LCM(70480,70492) = 2⁴ × 5¹ × 881¹ × 17623¹
LCM(70480,70492) = 1242069040