What is the Least Common Multiple of 70475 and 70490?

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 70475 and 70490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70475 and 70490, than apply into the LCM equation.

GCF(70475,70490) = 5
LCM(70475,70490) = ( 70475 × 70490) / 5
LCM(70475,70490) = 4967782750 / 5
LCM(70475,70490) = 993556550

Least Common Multiple (LCM) of 70475 and 70490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70475 and 70490. First we will calculate the prime factors of 70475 and 70490.

Prime Factorization of 70475

Prime Factorization of 70490

Now multiplying the highest exponent prime factors to calculate the LCM of 70475 and 70490.

LCM(70475,70490) = 5² × 2819¹ × 2¹ × 7¹ × 19¹ × 53¹
LCM(70475,70490) = 993556550