What is the Least Common Multiple of 67254 and 67260?

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 67254 and 67260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67254 and 67260, than apply into the LCM equation.

GCF(67254,67260) = 6
LCM(67254,67260) = ( 67254 × 67260) / 6
LCM(67254,67260) = 4523504040 / 6
LCM(67254,67260) = 753917340

Least Common Multiple (LCM) of 67254 and 67260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67254 and 67260. First we will calculate the prime factors of 67254 and 67260.

Prime Factorization of 67254

Prime Factorization of 67260

Now multiplying the highest exponent prime factors to calculate the LCM of 67254 and 67260.

LCM(67254,67260) = 2² × 3¹ × 11¹ × 1019¹ × 5¹ × 19¹ × 59¹
LCM(67254,67260) = 753917340