What is the Least Common Multiple of 32850 and 32870?

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 32850 and 32870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32850 and 32870, than apply into the LCM equation.

GCF(32850,32870) = 10
LCM(32850,32870) = ( 32850 × 32870) / 10
LCM(32850,32870) = 1079779500 / 10
LCM(32850,32870) = 107977950

Least Common Multiple (LCM) of 32850 and 32870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32850 and 32870. First we will calculate the prime factors of 32850 and 32870.

Prime Factorization of 32850

Prime Factorization of 32870

Now multiplying the highest exponent prime factors to calculate the LCM of 32850 and 32870.

LCM(32850,32870) = 2¹ × 3² × 5² × 73¹ × 19¹ × 173¹
LCM(32850,32870) = 107977950