What is the Least Common Multiple of 73933 and 73941?

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 73933 and 73941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73933 and 73941, than apply into the LCM equation.

GCF(73933,73941) = 1
LCM(73933,73941) = ( 73933 × 73941) / 1
LCM(73933,73941) = 5466679953 / 1
LCM(73933,73941) = 5466679953

Least Common Multiple (LCM) of 73933 and 73941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73933 and 73941. First we will calculate the prime factors of 73933 and 73941.

Prime Factorization of 73933

Prime Factorization of 73941

Now multiplying the highest exponent prime factors to calculate the LCM of 73933 and 73941.

LCM(73933,73941) = 17¹ × 4349¹ × 3¹ × 7² × 503¹
LCM(73933,73941) = 5466679953