What is the Least Common Multiple of 7021 and 7036?

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 7021 and 7036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7021 and 7036, than apply into the LCM equation.

GCF(7021,7036) = 1
LCM(7021,7036) = ( 7021 × 7036) / 1
LCM(7021,7036) = 49399756 / 1
LCM(7021,7036) = 49399756

Least Common Multiple (LCM) of 7021 and 7036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7021 and 7036. First we will calculate the prime factors of 7021 and 7036.

Prime Factorization of 7021

Prime Factorization of 7036

Now multiplying the highest exponent prime factors to calculate the LCM of 7021 and 7036.

LCM(7021,7036) = 7¹ × 17¹ × 59¹ × 2² × 1759¹
LCM(7021,7036) = 49399756