What is the Least Common Multiple of 67514 and 67528?

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 67514 and 67528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67514 and 67528, than apply into the LCM equation.

GCF(67514,67528) = 2
LCM(67514,67528) = ( 67514 × 67528) / 2
LCM(67514,67528) = 4559085392 / 2
LCM(67514,67528) = 2279542696

Least Common Multiple (LCM) of 67514 and 67528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67514 and 67528. First we will calculate the prime factors of 67514 and 67528.

Prime Factorization of 67514

Prime Factorization of 67528

Now multiplying the highest exponent prime factors to calculate the LCM of 67514 and 67528.

LCM(67514,67528) = 2³ × 33757¹ × 23¹ × 367¹
LCM(67514,67528) = 2279542696