What is the Least Common Multiple of 66460 and 66464?

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 66460 and 66464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66460 and 66464, than apply into the LCM equation.

GCF(66460,66464) = 4
LCM(66460,66464) = ( 66460 × 66464) / 4
LCM(66460,66464) = 4417197440 / 4
LCM(66460,66464) = 1104299360

Least Common Multiple (LCM) of 66460 and 66464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66460 and 66464. First we will calculate the prime factors of 66460 and 66464.

Prime Factorization of 66460

Prime Factorization of 66464

Now multiplying the highest exponent prime factors to calculate the LCM of 66460 and 66464.

LCM(66460,66464) = 2⁵ × 5¹ × 3323¹ × 31¹ × 67¹
LCM(66460,66464) = 1104299360