What is the Least Common Multiple of 70190 and 70210?

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 70190 and 70210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70190 and 70210, than apply into the LCM equation.

GCF(70190,70210) = 10
LCM(70190,70210) = ( 70190 × 70210) / 10
LCM(70190,70210) = 4928039900 / 10
LCM(70190,70210) = 492803990

Least Common Multiple (LCM) of 70190 and 70210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70190 and 70210. First we will calculate the prime factors of 70190 and 70210.

Prime Factorization of 70190

Prime Factorization of 70210

Now multiplying the highest exponent prime factors to calculate the LCM of 70190 and 70210.

LCM(70190,70210) = 2¹ × 5¹ × 7019¹ × 7¹ × 17¹ × 59¹
LCM(70190,70210) = 492803990