What is the Least Common Multiple of 73245 and 73258?

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 73245 and 73258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73245 and 73258, than apply into the LCM equation.

GCF(73245,73258) = 1
LCM(73245,73258) = ( 73245 × 73258) / 1
LCM(73245,73258) = 5365782210 / 1
LCM(73245,73258) = 5365782210

Least Common Multiple (LCM) of 73245 and 73258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73245 and 73258. First we will calculate the prime factors of 73245 and 73258.

Prime Factorization of 73245

Prime Factorization of 73258

Now multiplying the highest exponent prime factors to calculate the LCM of 73245 and 73258.

LCM(73245,73258) = 3¹ × 5¹ × 19¹ × 257¹ × 2¹ × 36629¹
LCM(73245,73258) = 5365782210