What is the Least Common Multiple of 67540 and 67549?

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 67549 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 67549, than apply into the LCM equation.

GCF(67540,67549) = 1
LCM(67540,67549) = ( 67540 × 67549) / 1
LCM(67540,67549) = 4562259460 / 1
LCM(67540,67549) = 4562259460

Least Common Multiple (LCM) of 67540 and 67549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67540 and 67549. First we will calculate the prime factors of 67540 and 67549.

Prime Factorization of 67540

Prime Factorization of 67549

Now multiplying the highest exponent prime factors to calculate the LCM of 67540 and 67549.

LCM(67540,67549) = 2² × 5¹ × 11¹ × 307¹ × 31¹ × 2179¹
LCM(67540,67549) = 4562259460