What is the Least Common Multiple of 45934 and 45941?

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 45934 and 45941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45934 and 45941, than apply into the LCM equation.

GCF(45934,45941) = 7
LCM(45934,45941) = ( 45934 × 45941) / 7
LCM(45934,45941) = 2110253894 / 7
LCM(45934,45941) = 301464842

Least Common Multiple (LCM) of 45934 and 45941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45934 and 45941. First we will calculate the prime factors of 45934 and 45941.

Prime Factorization of 45934

Prime Factorization of 45941

Now multiplying the highest exponent prime factors to calculate the LCM of 45934 and 45941.

LCM(45934,45941) = 2¹ × 7¹ × 17¹ × 193¹ × 6563¹
LCM(45934,45941) = 301464842