What is the Least Common Multiple of 84036 and 84053?

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 84036 and 84053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84036 and 84053, than apply into the LCM equation.

GCF(84036,84053) = 1
LCM(84036,84053) = ( 84036 × 84053) / 1
LCM(84036,84053) = 7063477908 / 1
LCM(84036,84053) = 7063477908

Least Common Multiple (LCM) of 84036 and 84053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84036 and 84053. First we will calculate the prime factors of 84036 and 84053.

Prime Factorization of 84036

Prime Factorization of 84053

Now multiplying the highest exponent prime factors to calculate the LCM of 84036 and 84053.

LCM(84036,84053) = 2² × 3¹ × 47¹ × 149¹ × 84053¹
LCM(84036,84053) = 7063477908