What is the Least Common Multiple of 53064 and 53068?

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 53064 and 53068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53064 and 53068, than apply into the LCM equation.

GCF(53064,53068) = 4
LCM(53064,53068) = ( 53064 × 53068) / 4
LCM(53064,53068) = 2816000352 / 4
LCM(53064,53068) = 704000088

Least Common Multiple (LCM) of 53064 and 53068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53064 and 53068. First we will calculate the prime factors of 53064 and 53068.

Prime Factorization of 53064

Prime Factorization of 53068

Now multiplying the highest exponent prime factors to calculate the LCM of 53064 and 53068.

LCM(53064,53068) = 2³ × 3² × 11¹ × 67¹ × 13267¹
LCM(53064,53068) = 704000088