What is the Least Common Multiple of 75968 and 75974?

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 75968 and 75974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75968 and 75974, than apply into the LCM equation.

GCF(75968,75974) = 2
LCM(75968,75974) = ( 75968 × 75974) / 2
LCM(75968,75974) = 5771592832 / 2
LCM(75968,75974) = 2885796416

Least Common Multiple (LCM) of 75968 and 75974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75968 and 75974. First we will calculate the prime factors of 75968 and 75974.

Prime Factorization of 75968

Prime Factorization of 75974

Now multiplying the highest exponent prime factors to calculate the LCM of 75968 and 75974.

LCM(75968,75974) = 2⁶ × 1187¹ × 37987¹
LCM(75968,75974) = 2885796416