What is the Least Common Multiple of 80769 and 80780?

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 80769 and 80780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80769 and 80780, than apply into the LCM equation.

GCF(80769,80780) = 1
LCM(80769,80780) = ( 80769 × 80780) / 1
LCM(80769,80780) = 6524519820 / 1
LCM(80769,80780) = 6524519820

Least Common Multiple (LCM) of 80769 and 80780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80769 and 80780. First we will calculate the prime factors of 80769 and 80780.

Prime Factorization of 80769

Prime Factorization of 80780

Now multiplying the highest exponent prime factors to calculate the LCM of 80769 and 80780.

LCM(80769,80780) = 3¹ × 13¹ × 19¹ × 109¹ × 2² × 5¹ × 7¹ × 577¹
LCM(80769,80780) = 6524519820