What is the Least Common Multiple of 67530 and 67540?

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 67530 and 67540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67530 and 67540, than apply into the LCM equation.

GCF(67530,67540) = 10
LCM(67530,67540) = ( 67530 × 67540) / 10
LCM(67530,67540) = 4560976200 / 10
LCM(67530,67540) = 456097620

Least Common Multiple (LCM) of 67530 and 67540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67530 and 67540. First we will calculate the prime factors of 67530 and 67540.

Prime Factorization of 67530

Prime Factorization of 67540

Now multiplying the highest exponent prime factors to calculate the LCM of 67530 and 67540.

LCM(67530,67540) = 2² × 3¹ × 5¹ × 2251¹ × 11¹ × 307¹
LCM(67530,67540) = 456097620