What is the Least Common Multiple of 70245 and 70260?

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 70245 and 70260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70245 and 70260, than apply into the LCM equation.

GCF(70245,70260) = 15
LCM(70245,70260) = ( 70245 × 70260) / 15
LCM(70245,70260) = 4935413700 / 15
LCM(70245,70260) = 329027580

Least Common Multiple (LCM) of 70245 and 70260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70245 and 70260. First we will calculate the prime factors of 70245 and 70260.

Prime Factorization of 70245

Prime Factorization of 70260

Now multiplying the highest exponent prime factors to calculate the LCM of 70245 and 70260.

LCM(70245,70260) = 3² × 5¹ × 7¹ × 223¹ × 2² × 1171¹
LCM(70245,70260) = 329027580