What is the Least Common Multiple of 41974 and 41990?

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 41990 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 41990, than apply into the LCM equation.

GCF(41974,41990) = 2
LCM(41974,41990) = ( 41974 × 41990) / 2
LCM(41974,41990) = 1762488260 / 2
LCM(41974,41990) = 881244130

Least Common Multiple (LCM) of 41974 and 41990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41974 and 41990. First we will calculate the prime factors of 41974 and 41990.

Prime Factorization of 41974

Prime Factorization of 41990

Now multiplying the highest exponent prime factors to calculate the LCM of 41974 and 41990.

LCM(41974,41990) = 2¹ × 31¹ × 677¹ × 5¹ × 13¹ × 17¹ × 19¹
LCM(41974,41990) = 881244130