What is the Least Common Multiple of 70872 and 70890?

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 70872 and 70890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70872 and 70890, than apply into the LCM equation.

GCF(70872,70890) = 6
LCM(70872,70890) = ( 70872 × 70890) / 6
LCM(70872,70890) = 5024116080 / 6
LCM(70872,70890) = 837352680

Least Common Multiple (LCM) of 70872 and 70890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70872 and 70890. First we will calculate the prime factors of 70872 and 70890.

Prime Factorization of 70872

Prime Factorization of 70890

Now multiplying the highest exponent prime factors to calculate the LCM of 70872 and 70890.

LCM(70872,70890) = 2³ × 3¹ × 2953¹ × 5¹ × 17¹ × 139¹
LCM(70872,70890) = 837352680