What is the Least Common Multiple of 41974 and 41978?

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 41974 and 41978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41974 and 41978, than apply into the LCM equation.

GCF(41974,41978) = 2
LCM(41974,41978) = ( 41974 × 41978) / 2
LCM(41974,41978) = 1761984572 / 2
LCM(41974,41978) = 880992286

Least Common Multiple (LCM) of 41974 and 41978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41974 and 41978. First we will calculate the prime factors of 41974 and 41978.

Prime Factorization of 41974

Prime Factorization of 41978

Now multiplying the highest exponent prime factors to calculate the LCM of 41974 and 41978.

LCM(41974,41978) = 2¹ × 31¹ × 677¹ × 139¹ × 151¹
LCM(41974,41978) = 880992286