What is the Least Common Multiple of 84465 and 84480?

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 84465 and 84480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84465 and 84480, than apply into the LCM equation.

GCF(84465,84480) = 15
LCM(84465,84480) = ( 84465 × 84480) / 15
LCM(84465,84480) = 7135603200 / 15
LCM(84465,84480) = 475706880

Least Common Multiple (LCM) of 84465 and 84480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84465 and 84480. First we will calculate the prime factors of 84465 and 84480.

Prime Factorization of 84465

Prime Factorization of 84480

Now multiplying the highest exponent prime factors to calculate the LCM of 84465 and 84480.

LCM(84465,84480) = 3² × 5¹ × 1877¹ × 2⁹ × 11¹
LCM(84465,84480) = 475706880