What is the Least Common Multiple of 70564 and 70576?

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 70564 and 70576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70564 and 70576, than apply into the LCM equation.

GCF(70564,70576) = 4
LCM(70564,70576) = ( 70564 × 70576) / 4
LCM(70564,70576) = 4980124864 / 4
LCM(70564,70576) = 1245031216

Least Common Multiple (LCM) of 70564 and 70576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70564 and 70576. First we will calculate the prime factors of 70564 and 70576.

Prime Factorization of 70564

Prime Factorization of 70576

Now multiplying the highest exponent prime factors to calculate the LCM of 70564 and 70576.

LCM(70564,70576) = 2⁴ × 13¹ × 23¹ × 59¹ × 11¹ × 401¹
LCM(70564,70576) = 1245031216