What is the Least Common Multiple of 66963 and 66975?

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 66963 and 66975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66963 and 66975, than apply into the LCM equation.

GCF(66963,66975) = 3
LCM(66963,66975) = ( 66963 × 66975) / 3
LCM(66963,66975) = 4484846925 / 3
LCM(66963,66975) = 1494948975

Least Common Multiple (LCM) of 66963 and 66975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66963 and 66975. First we will calculate the prime factors of 66963 and 66975.

Prime Factorization of 66963

Prime Factorization of 66975

Now multiplying the highest exponent prime factors to calculate the LCM of 66963 and 66975.

LCM(66963,66975) = 3¹ × 13¹ × 17¹ × 101¹ × 5² × 19¹ × 47¹
LCM(66963,66975) = 1494948975