What is the Least Common Multiple of 70468 and 70488?

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 70468 and 70488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70468 and 70488, than apply into the LCM equation.

GCF(70468,70488) = 4
LCM(70468,70488) = ( 70468 × 70488) / 4
LCM(70468,70488) = 4967148384 / 4
LCM(70468,70488) = 1241787096

Least Common Multiple (LCM) of 70468 and 70488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70468 and 70488. First we will calculate the prime factors of 70468 and 70488.

Prime Factorization of 70468

Prime Factorization of 70488

Now multiplying the highest exponent prime factors to calculate the LCM of 70468 and 70488.

LCM(70468,70488) = 2³ × 79¹ × 223¹ × 3² × 11¹ × 89¹
LCM(70468,70488) = 1241787096