What is the Least Common Multiple of 70851 and 70870?

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 70851 and 70870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70851 and 70870, than apply into the LCM equation.

GCF(70851,70870) = 19
LCM(70851,70870) = ( 70851 × 70870) / 19
LCM(70851,70870) = 5021210370 / 19
LCM(70851,70870) = 264274230

Least Common Multiple (LCM) of 70851 and 70870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70851 and 70870. First we will calculate the prime factors of 70851 and 70870.

Prime Factorization of 70851

Prime Factorization of 70870

Now multiplying the highest exponent prime factors to calculate the LCM of 70851 and 70870.

LCM(70851,70870) = 3¹ × 11¹ × 19¹ × 113¹ × 2¹ × 5¹ × 373¹
LCM(70851,70870) = 264274230