What is the Least Common Multiple of 70052 and 70065?

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 70052 and 70065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70052 and 70065, than apply into the LCM equation.

GCF(70052,70065) = 1
LCM(70052,70065) = ( 70052 × 70065) / 1
LCM(70052,70065) = 4908193380 / 1
LCM(70052,70065) = 4908193380

Least Common Multiple (LCM) of 70052 and 70065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70052 and 70065. First we will calculate the prime factors of 70052 and 70065.

Prime Factorization of 70052

Prime Factorization of 70065

Now multiplying the highest exponent prime factors to calculate the LCM of 70052 and 70065.

LCM(70052,70065) = 2² × 83¹ × 211¹ × 3⁴ × 5¹ × 173¹
LCM(70052,70065) = 4908193380