What is the Least Common Multiple of 18941 and 18959?

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 18941 and 18959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18941 and 18959, than apply into the LCM equation.

GCF(18941,18959) = 1
LCM(18941,18959) = ( 18941 × 18959) / 1
LCM(18941,18959) = 359102419 / 1
LCM(18941,18959) = 359102419

Least Common Multiple (LCM) of 18941 and 18959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18941 and 18959. First we will calculate the prime factors of 18941 and 18959.

Prime Factorization of 18941

Prime Factorization of 18959

Now multiplying the highest exponent prime factors to calculate the LCM of 18941 and 18959.

LCM(18941,18959) = 13¹ × 31¹ × 47¹ × 18959¹
LCM(18941,18959) = 359102419