What is the Least Common Multiple of 84241 and 84258?

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 84241 and 84258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84241 and 84258, than apply into the LCM equation.

GCF(84241,84258) = 1
LCM(84241,84258) = ( 84241 × 84258) / 1
LCM(84241,84258) = 7097978178 / 1
LCM(84241,84258) = 7097978178

Least Common Multiple (LCM) of 84241 and 84258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84241 and 84258. First we will calculate the prime factors of 84241 and 84258.

Prime Factorization of 84241

Prime Factorization of 84258

Now multiplying the highest exponent prime factors to calculate the LCM of 84241 and 84258.

LCM(84241,84258) = 61¹ × 1381¹ × 2¹ × 3² × 31¹ × 151¹
LCM(84241,84258) = 7097978178