What is the Least Common Multiple of 53068 and 53079?

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 53068 and 53079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53068 and 53079, than apply into the LCM equation.

GCF(53068,53079) = 1
LCM(53068,53079) = ( 53068 × 53079) / 1
LCM(53068,53079) = 2816796372 / 1
LCM(53068,53079) = 2816796372

Least Common Multiple (LCM) of 53068 and 53079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53068 and 53079. First we will calculate the prime factors of 53068 and 53079.

Prime Factorization of 53068

Prime Factorization of 53079

Now multiplying the highest exponent prime factors to calculate the LCM of 53068 and 53079.

LCM(53068,53079) = 2² × 13267¹ × 3¹ × 13¹ × 1361¹
LCM(53068,53079) = 2816796372