What is the Least Common Multiple of 66954 and 66968?

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 66968 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 66968, than apply into the LCM equation.

GCF(66954,66968) = 2
LCM(66954,66968) = ( 66954 × 66968) / 2
LCM(66954,66968) = 4483775472 / 2
LCM(66954,66968) = 2241887736

Least Common Multiple (LCM) of 66954 and 66968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66954 and 66968. First we will calculate the prime factors of 66954 and 66968.

Prime Factorization of 66954

Prime Factorization of 66968

Now multiplying the highest exponent prime factors to calculate the LCM of 66954 and 66968.

LCM(66954,66968) = 2³ × 3¹ × 11159¹ × 11¹ × 761¹
LCM(66954,66968) = 2241887736