What is the Least Common Multiple of 70434 and 70440?

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 70434 and 70440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70434 and 70440, than apply into the LCM equation.

GCF(70434,70440) = 6
LCM(70434,70440) = ( 70434 × 70440) / 6
LCM(70434,70440) = 4961370960 / 6
LCM(70434,70440) = 826895160

Least Common Multiple (LCM) of 70434 and 70440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70434 and 70440. First we will calculate the prime factors of 70434 and 70440.

Prime Factorization of 70434

Prime Factorization of 70440

Now multiplying the highest exponent prime factors to calculate the LCM of 70434 and 70440.

LCM(70434,70440) = 2³ × 3² × 7¹ × 13¹ × 43¹ × 5¹ × 587¹
LCM(70434,70440) = 826895160