What is the Least Common Multiple of 70470 and 70485?

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 70470 and 70485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70470 and 70485, than apply into the LCM equation.

GCF(70470,70485) = 15
LCM(70470,70485) = ( 70470 × 70485) / 15
LCM(70470,70485) = 4967077950 / 15
LCM(70470,70485) = 331138530

Least Common Multiple (LCM) of 70470 and 70485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70470 and 70485. First we will calculate the prime factors of 70470 and 70485.

Prime Factorization of 70470

Prime Factorization of 70485

Now multiplying the highest exponent prime factors to calculate the LCM of 70470 and 70485.

LCM(70470,70485) = 2¹ × 3⁵ × 5¹ × 29¹ × 37¹ × 127¹
LCM(70470,70485) = 331138530