What is the Least Common Multiple of 84612 and 84632?

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 84612 and 84632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84612 and 84632, than apply into the LCM equation.

GCF(84612,84632) = 4
LCM(84612,84632) = ( 84612 × 84632) / 4
LCM(84612,84632) = 7160882784 / 4
LCM(84612,84632) = 1790220696

Least Common Multiple (LCM) of 84612 and 84632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84612 and 84632. First we will calculate the prime factors of 84612 and 84632.

Prime Factorization of 84612

Prime Factorization of 84632

Now multiplying the highest exponent prime factors to calculate the LCM of 84612 and 84632.

LCM(84612,84632) = 2³ × 3¹ × 11¹ × 641¹ × 71¹ × 149¹
LCM(84612,84632) = 1790220696