What is the Least Common Multiple of 67590 and 67608?

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 67590 and 67608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67590 and 67608, than apply into the LCM equation.

GCF(67590,67608) = 18
LCM(67590,67608) = ( 67590 × 67608) / 18
LCM(67590,67608) = 4569624720 / 18
LCM(67590,67608) = 253868040

Least Common Multiple (LCM) of 67590 and 67608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67590 and 67608. First we will calculate the prime factors of 67590 and 67608.

Prime Factorization of 67590

Prime Factorization of 67608

Now multiplying the highest exponent prime factors to calculate the LCM of 67590 and 67608.

LCM(67590,67608) = 2³ × 3³ × 5¹ × 751¹ × 313¹
LCM(67590,67608) = 253868040