What is the Least Common Multiple of 67540 and 67554?

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 67540 and 67554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67540 and 67554, than apply into the LCM equation.

GCF(67540,67554) = 2
LCM(67540,67554) = ( 67540 × 67554) / 2
LCM(67540,67554) = 4562597160 / 2
LCM(67540,67554) = 2281298580

Least Common Multiple (LCM) of 67540 and 67554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67540 and 67554. First we will calculate the prime factors of 67540 and 67554.

Prime Factorization of 67540

Prime Factorization of 67554

Now multiplying the highest exponent prime factors to calculate the LCM of 67540 and 67554.

LCM(67540,67554) = 2² × 5¹ × 11¹ × 307¹ × 3⁵ × 139¹
LCM(67540,67554) = 2281298580