What is the Least Common Multiple of 70210 and 70228?

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 70228 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 70228, than apply into the LCM equation.

GCF(70210,70228) = 2
LCM(70210,70228) = ( 70210 × 70228) / 2
LCM(70210,70228) = 4930707880 / 2
LCM(70210,70228) = 2465353940

Least Common Multiple (LCM) of 70210 and 70228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70210 and 70228. First we will calculate the prime factors of 70210 and 70228.

Prime Factorization of 70210

Prime Factorization of 70228

Now multiplying the highest exponent prime factors to calculate the LCM of 70210 and 70228.

LCM(70210,70228) = 2² × 5¹ × 7¹ × 17¹ × 59¹ × 97¹ × 181¹
LCM(70210,70228) = 2465353940