What is the Least Common Multiple of 67949 and 67966?

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 67949 and 67966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67949 and 67966, than apply into the LCM equation.

GCF(67949,67966) = 17
LCM(67949,67966) = ( 67949 × 67966) / 17
LCM(67949,67966) = 4618221734 / 17
LCM(67949,67966) = 271660102

Least Common Multiple (LCM) of 67949 and 67966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67949 and 67966. First we will calculate the prime factors of 67949 and 67966.

Prime Factorization of 67949

Prime Factorization of 67966

Now multiplying the highest exponent prime factors to calculate the LCM of 67949 and 67966.

LCM(67949,67966) = 7¹ × 17¹ × 571¹ × 2¹ × 1999¹
LCM(67949,67966) = 271660102