What is the Least Common Multiple of 70210 and 70226?

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 70210 and 70226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70210 and 70226, than apply into the LCM equation.

GCF(70210,70226) = 2
LCM(70210,70226) = ( 70210 × 70226) / 2
LCM(70210,70226) = 4930567460 / 2
LCM(70210,70226) = 2465283730

Least Common Multiple (LCM) of 70210 and 70226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70210 and 70226. First we will calculate the prime factors of 70210 and 70226.

Prime Factorization of 70210

Prime Factorization of 70226

Now multiplying the highest exponent prime factors to calculate the LCM of 70210 and 70226.

LCM(70210,70226) = 2¹ × 5¹ × 7¹ × 17¹ × 59¹ × 13¹ × 37¹ × 73¹
LCM(70210,70226) = 2465283730