What is the Least Common Multiple of 84063 and 84072?

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 84063 and 84072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84063 and 84072, than apply into the LCM equation.

GCF(84063,84072) = 3
LCM(84063,84072) = ( 84063 × 84072) / 3
LCM(84063,84072) = 7067344536 / 3
LCM(84063,84072) = 2355781512

Least Common Multiple (LCM) of 84063 and 84072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84063 and 84072. First we will calculate the prime factors of 84063 and 84072.

Prime Factorization of 84063

Prime Factorization of 84072

Now multiplying the highest exponent prime factors to calculate the LCM of 84063 and 84072.

LCM(84063,84072) = 3¹ × 7¹ × 4003¹ × 2³ × 31¹ × 113¹
LCM(84063,84072) = 2355781512