What is the Least Common Multiple of 75946 and 75966?

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 75946 and 75966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75946 and 75966, than apply into the LCM equation.

GCF(75946,75966) = 2
LCM(75946,75966) = ( 75946 × 75966) / 2
LCM(75946,75966) = 5769313836 / 2
LCM(75946,75966) = 2884656918

Least Common Multiple (LCM) of 75946 and 75966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75946 and 75966. First we will calculate the prime factors of 75946 and 75966.

Prime Factorization of 75946

Prime Factorization of 75966

Now multiplying the highest exponent prime factors to calculate the LCM of 75946 and 75966.

LCM(75946,75966) = 2¹ × 13¹ × 23¹ × 127¹ × 3¹ × 11¹ × 1151¹
LCM(75946,75966) = 2884656918