What is the Least Common Multiple of 70459 and 70478?

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 70459 and 70478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70459 and 70478, than apply into the LCM equation.

GCF(70459,70478) = 1
LCM(70459,70478) = ( 70459 × 70478) / 1
LCM(70459,70478) = 4965809402 / 1
LCM(70459,70478) = 4965809402

Least Common Multiple (LCM) of 70459 and 70478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70459 and 70478. First we will calculate the prime factors of 70459 and 70478.

Prime Factorization of 70459

Prime Factorization of 70478

Now multiplying the highest exponent prime factors to calculate the LCM of 70459 and 70478.

LCM(70459,70478) = 70459¹ × 2¹ × 131¹ × 269¹
LCM(70459,70478) = 4965809402