What is the Least Common Multiple of 53064 and 53075?

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 53075 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 53075, than apply into the LCM equation.

GCF(53064,53075) = 11
LCM(53064,53075) = ( 53064 × 53075) / 11
LCM(53064,53075) = 2816371800 / 11
LCM(53064,53075) = 256033800

Least Common Multiple (LCM) of 53064 and 53075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53064 and 53075. First we will calculate the prime factors of 53064 and 53075.

Prime Factorization of 53064

Prime Factorization of 53075

Now multiplying the highest exponent prime factors to calculate the LCM of 53064 and 53075.

LCM(53064,53075) = 2³ × 3² × 11¹ × 67¹ × 5² × 193¹
LCM(53064,53075) = 256033800