What is the Least Common Multiple of 53078 and 53082?

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 53078 and 53082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53078 and 53082, than apply into the LCM equation.

GCF(53078,53082) = 2
LCM(53078,53082) = ( 53078 × 53082) / 2
LCM(53078,53082) = 2817486396 / 2
LCM(53078,53082) = 1408743198

Least Common Multiple (LCM) of 53078 and 53082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53078 and 53082. First we will calculate the prime factors of 53078 and 53082.

Prime Factorization of 53078

Prime Factorization of 53082

Now multiplying the highest exponent prime factors to calculate the LCM of 53078 and 53082.

LCM(53078,53082) = 2¹ × 26539¹ × 3³ × 983¹
LCM(53078,53082) = 1408743198