What is the Least Common Multiple of 70290 and 70300?

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 70290 and 70300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70290 and 70300, than apply into the LCM equation.

GCF(70290,70300) = 10
LCM(70290,70300) = ( 70290 × 70300) / 10
LCM(70290,70300) = 4941387000 / 10
LCM(70290,70300) = 494138700

Least Common Multiple (LCM) of 70290 and 70300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70290 and 70300. First we will calculate the prime factors of 70290 and 70300.

Prime Factorization of 70290

Prime Factorization of 70300

Now multiplying the highest exponent prime factors to calculate the LCM of 70290 and 70300.

LCM(70290,70300) = 2² × 3² × 5² × 11¹ × 71¹ × 19¹ × 37¹
LCM(70290,70300) = 494138700