What is the Least Common Multiple of 66948 and 66960?

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 66948 and 66960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66948 and 66960, than apply into the LCM equation.

GCF(66948,66960) = 12
LCM(66948,66960) = ( 66948 × 66960) / 12
LCM(66948,66960) = 4482838080 / 12
LCM(66948,66960) = 373569840

Least Common Multiple (LCM) of 66948 and 66960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66948 and 66960. First we will calculate the prime factors of 66948 and 66960.

Prime Factorization of 66948

Prime Factorization of 66960

Now multiplying the highest exponent prime factors to calculate the LCM of 66948 and 66960.

LCM(66948,66960) = 2⁴ × 3³ × 7¹ × 797¹ × 5¹ × 31¹
LCM(66948,66960) = 373569840