What is the Least Common Multiple of 42926 and 42941?

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 42926 and 42941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42926 and 42941, than apply into the LCM equation.

GCF(42926,42941) = 1
LCM(42926,42941) = ( 42926 × 42941) / 1
LCM(42926,42941) = 1843285366 / 1
LCM(42926,42941) = 1843285366

Least Common Multiple (LCM) of 42926 and 42941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42926 and 42941. First we will calculate the prime factors of 42926 and 42941.

Prime Factorization of 42926

Prime Factorization of 42941

Now multiplying the highest exponent prime factors to calculate the LCM of 42926 and 42941.

LCM(42926,42941) = 2¹ × 13² × 127¹ × 23¹ × 1867¹
LCM(42926,42941) = 1843285366