What is the Least Common Multiple of 70075 and 70090?

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 70075 and 70090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70075 and 70090, than apply into the LCM equation.

GCF(70075,70090) = 5
LCM(70075,70090) = ( 70075 × 70090) / 5
LCM(70075,70090) = 4911556750 / 5
LCM(70075,70090) = 982311350

Least Common Multiple (LCM) of 70075 and 70090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70075 and 70090. First we will calculate the prime factors of 70075 and 70090.

Prime Factorization of 70075

Prime Factorization of 70090

Now multiplying the highest exponent prime factors to calculate the LCM of 70075 and 70090.

LCM(70075,70090) = 5² × 2803¹ × 2¹ × 43¹ × 163¹
LCM(70075,70090) = 982311350