What is the Least Common Multiple of 80754 and 80769?

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 80754 and 80769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80754 and 80769, than apply into the LCM equation.

GCF(80754,80769) = 3
LCM(80754,80769) = ( 80754 × 80769) / 3
LCM(80754,80769) = 6522419826 / 3
LCM(80754,80769) = 2174139942

Least Common Multiple (LCM) of 80754 and 80769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80754 and 80769. First we will calculate the prime factors of 80754 and 80769.

Prime Factorization of 80754

Prime Factorization of 80769

Now multiplying the highest exponent prime factors to calculate the LCM of 80754 and 80769.

LCM(80754,80769) = 2¹ × 3¹ × 43¹ × 313¹ × 13¹ × 19¹ × 109¹
LCM(80754,80769) = 2174139942