What is the Least Common Multiple of 73954 and 73966?

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 73954 and 73966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73954 and 73966, than apply into the LCM equation.

GCF(73954,73966) = 2
LCM(73954,73966) = ( 73954 × 73966) / 2
LCM(73954,73966) = 5470081564 / 2
LCM(73954,73966) = 2735040782

Least Common Multiple (LCM) of 73954 and 73966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73954 and 73966. First we will calculate the prime factors of 73954 and 73966.

Prime Factorization of 73954

Prime Factorization of 73966

Now multiplying the highest exponent prime factors to calculate the LCM of 73954 and 73966.

LCM(73954,73966) = 2¹ × 103¹ × 359¹ × 31¹ × 1193¹
LCM(73954,73966) = 2735040782