What is the Least Common Multiple of 83930 and 83941?

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 83930 and 83941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83930 and 83941, than apply into the LCM equation.

GCF(83930,83941) = 11
LCM(83930,83941) = ( 83930 × 83941) / 11
LCM(83930,83941) = 7045168130 / 11
LCM(83930,83941) = 640469830

Least Common Multiple (LCM) of 83930 and 83941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83930 and 83941. First we will calculate the prime factors of 83930 and 83941.

Prime Factorization of 83930

Prime Factorization of 83941

Now multiplying the highest exponent prime factors to calculate the LCM of 83930 and 83941.

LCM(83930,83941) = 2¹ × 5¹ × 7¹ × 11¹ × 109¹ × 13¹ × 587¹
LCM(83930,83941) = 640469830