What is the Least Common Multiple of 67540 and 67558?

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 67558 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 67558, than apply into the LCM equation.

GCF(67540,67558) = 2
LCM(67540,67558) = ( 67540 × 67558) / 2
LCM(67540,67558) = 4562867320 / 2
LCM(67540,67558) = 2281433660

Least Common Multiple (LCM) of 67540 and 67558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67540 and 67558. First we will calculate the prime factors of 67540 and 67558.

Prime Factorization of 67540

Prime Factorization of 67558

Now multiplying the highest exponent prime factors to calculate the LCM of 67540 and 67558.

LCM(67540,67558) = 2² × 5¹ × 11¹ × 307¹ × 17¹ × 1987¹
LCM(67540,67558) = 2281433660