What is the Least Common Multiple of 69768 and 69780?

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 69768 and 69780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69768 and 69780, than apply into the LCM equation.

GCF(69768,69780) = 12
LCM(69768,69780) = ( 69768 × 69780) / 12
LCM(69768,69780) = 4868411040 / 12
LCM(69768,69780) = 405700920

Least Common Multiple (LCM) of 69768 and 69780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69768 and 69780. First we will calculate the prime factors of 69768 and 69780.

Prime Factorization of 69768

Prime Factorization of 69780

Now multiplying the highest exponent prime factors to calculate the LCM of 69768 and 69780.

LCM(69768,69780) = 2³ × 3³ × 17¹ × 19¹ × 5¹ × 1163¹
LCM(69768,69780) = 405700920