What is the Least Common Multiple of 70540 and 70552?

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 70540 and 70552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70540 and 70552, than apply into the LCM equation.

GCF(70540,70552) = 4
LCM(70540,70552) = ( 70540 × 70552) / 4
LCM(70540,70552) = 4976738080 / 4
LCM(70540,70552) = 1244184520

Least Common Multiple (LCM) of 70540 and 70552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70540 and 70552. First we will calculate the prime factors of 70540 and 70552.

Prime Factorization of 70540

Prime Factorization of 70552

Now multiplying the highest exponent prime factors to calculate the LCM of 70540 and 70552.

LCM(70540,70552) = 2³ × 5¹ × 3527¹ × 8819¹
LCM(70540,70552) = 1244184520