What is the Least Common Multiple of 41968 and 41974?

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 41968 and 41974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41968 and 41974, than apply into the LCM equation.

GCF(41968,41974) = 2
LCM(41968,41974) = ( 41968 × 41974) / 2
LCM(41968,41974) = 1761564832 / 2
LCM(41968,41974) = 880782416

Least Common Multiple (LCM) of 41968 and 41974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41968 and 41974. First we will calculate the prime factors of 41968 and 41974.

Prime Factorization of 41968

Prime Factorization of 41974

Now multiplying the highest exponent prime factors to calculate the LCM of 41968 and 41974.

LCM(41968,41974) = 2⁴ × 43¹ × 61¹ × 31¹ × 677¹
LCM(41968,41974) = 880782416