What is the Least Common Multiple of 68850 and 68870?

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 68850 and 68870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68850 and 68870, than apply into the LCM equation.

GCF(68850,68870) = 10
LCM(68850,68870) = ( 68850 × 68870) / 10
LCM(68850,68870) = 4741699500 / 10
LCM(68850,68870) = 474169950

Least Common Multiple (LCM) of 68850 and 68870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68850 and 68870. First we will calculate the prime factors of 68850 and 68870.

Prime Factorization of 68850

Prime Factorization of 68870

Now multiplying the highest exponent prime factors to calculate the LCM of 68850 and 68870.

LCM(68850,68870) = 2¹ × 3⁴ × 5² × 17¹ × 71¹ × 97¹
LCM(68850,68870) = 474169950