What is the Least Common Multiple of 70488 and 70506?

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 70488 and 70506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70488 and 70506, than apply into the LCM equation.

GCF(70488,70506) = 18
LCM(70488,70506) = ( 70488 × 70506) / 18
LCM(70488,70506) = 4969826928 / 18
LCM(70488,70506) = 276101496

Least Common Multiple (LCM) of 70488 and 70506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70488 and 70506. First we will calculate the prime factors of 70488 and 70506.

Prime Factorization of 70488

Prime Factorization of 70506

Now multiplying the highest exponent prime factors to calculate the LCM of 70488 and 70506.

LCM(70488,70506) = 2³ × 3² × 11¹ × 89¹ × 3917¹
LCM(70488,70506) = 276101496