What is the Least Common Multiple of 84774 and 84789?

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 84774 and 84789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84774 and 84789, than apply into the LCM equation.

GCF(84774,84789) = 3
LCM(84774,84789) = ( 84774 × 84789) / 3
LCM(84774,84789) = 7187902686 / 3
LCM(84774,84789) = 2395967562

Least Common Multiple (LCM) of 84774 and 84789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84774 and 84789. First we will calculate the prime factors of 84774 and 84789.

Prime Factorization of 84774

Prime Factorization of 84789

Now multiplying the highest exponent prime factors to calculate the LCM of 84774 and 84789.

LCM(84774,84789) = 2¹ × 3² × 71¹ × 199¹ × 9421¹
LCM(84774,84789) = 2395967562