What is the Least Common Multiple of 66053 and 66064?

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 66053 and 66064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66053 and 66064, than apply into the LCM equation.

GCF(66053,66064) = 1
LCM(66053,66064) = ( 66053 × 66064) / 1
LCM(66053,66064) = 4363725392 / 1
LCM(66053,66064) = 4363725392

Least Common Multiple (LCM) of 66053 and 66064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66053 and 66064. First we will calculate the prime factors of 66053 and 66064.

Prime Factorization of 66053

Prime Factorization of 66064

Now multiplying the highest exponent prime factors to calculate the LCM of 66053 and 66064.

LCM(66053,66064) = 13¹ × 5081¹ × 2⁴ × 4129¹
LCM(66053,66064) = 4363725392