What is the Least Common Multiple of 69780 and 69800?

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 69780 and 69800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69780 and 69800, than apply into the LCM equation.

GCF(69780,69800) = 20
LCM(69780,69800) = ( 69780 × 69800) / 20
LCM(69780,69800) = 4870644000 / 20
LCM(69780,69800) = 243532200

Least Common Multiple (LCM) of 69780 and 69800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69780 and 69800. First we will calculate the prime factors of 69780 and 69800.

Prime Factorization of 69780

Prime Factorization of 69800

Now multiplying the highest exponent prime factors to calculate the LCM of 69780 and 69800.

LCM(69780,69800) = 2³ × 3¹ × 5² × 1163¹ × 349¹
LCM(69780,69800) = 243532200