What is the Least Common Multiple of 67248 and 67258?

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 67248 and 67258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67248 and 67258, than apply into the LCM equation.

GCF(67248,67258) = 2
LCM(67248,67258) = ( 67248 × 67258) / 2
LCM(67248,67258) = 4522965984 / 2
LCM(67248,67258) = 2261482992

Least Common Multiple (LCM) of 67248 and 67258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67248 and 67258. First we will calculate the prime factors of 67248 and 67258.

Prime Factorization of 67248

Prime Factorization of 67258

Now multiplying the highest exponent prime factors to calculate the LCM of 67248 and 67258.

LCM(67248,67258) = 2⁴ × 3² × 467¹ × 33629¹
LCM(67248,67258) = 2261482992