What is the Least Common Multiple of 66160 and 66167?

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 66160 and 66167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66160 and 66167, than apply into the LCM equation.

GCF(66160,66167) = 1
LCM(66160,66167) = ( 66160 × 66167) / 1
LCM(66160,66167) = 4377608720 / 1
LCM(66160,66167) = 4377608720

Least Common Multiple (LCM) of 66160 and 66167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66160 and 66167. First we will calculate the prime factors of 66160 and 66167.

Prime Factorization of 66160

Prime Factorization of 66167

Now multiplying the highest exponent prime factors to calculate the LCM of 66160 and 66167.

LCM(66160,66167) = 2⁴ × 5¹ × 827¹ × 127¹ × 521¹
LCM(66160,66167) = 4377608720