What is the Least Common Multiple of 71700 and 71720?

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 71700 and 71720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71700 and 71720, than apply into the LCM equation.

GCF(71700,71720) = 20
LCM(71700,71720) = ( 71700 × 71720) / 20
LCM(71700,71720) = 5142324000 / 20
LCM(71700,71720) = 257116200

Least Common Multiple (LCM) of 71700 and 71720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71700 and 71720. First we will calculate the prime factors of 71700 and 71720.

Prime Factorization of 71700

Prime Factorization of 71720

Now multiplying the highest exponent prime factors to calculate the LCM of 71700 and 71720.

LCM(71700,71720) = 2³ × 3¹ × 5² × 239¹ × 11¹ × 163¹
LCM(71700,71720) = 257116200