What is the Least Common Multiple of 66954 and 66966?

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 66954 and 66966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66954 and 66966, than apply into the LCM equation.

GCF(66954,66966) = 6
LCM(66954,66966) = ( 66954 × 66966) / 6
LCM(66954,66966) = 4483641564 / 6
LCM(66954,66966) = 747273594

Least Common Multiple (LCM) of 66954 and 66966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66954 and 66966. First we will calculate the prime factors of 66954 and 66966.

Prime Factorization of 66954

Prime Factorization of 66966

Now multiplying the highest exponent prime factors to calculate the LCM of 66954 and 66966.

LCM(66954,66966) = 2¹ × 3¹ × 11159¹ × 11161¹
LCM(66954,66966) = 747273594