What is the Least Common Multiple of 66946 and 66952?

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 66946 and 66952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66946 and 66952, than apply into the LCM equation.

GCF(66946,66952) = 2
LCM(66946,66952) = ( 66946 × 66952) / 2
LCM(66946,66952) = 4482168592 / 2
LCM(66946,66952) = 2241084296

Least Common Multiple (LCM) of 66946 and 66952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66946 and 66952. First we will calculate the prime factors of 66946 and 66952.

Prime Factorization of 66946

Prime Factorization of 66952

Now multiplying the highest exponent prime factors to calculate the LCM of 66946 and 66952.

LCM(66946,66952) = 2³ × 11¹ × 17¹ × 179¹ × 8369¹
LCM(66946,66952) = 2241084296