What is the Least Common Multiple of 1514 and 1532?

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 1514 and 1532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1514 and 1532, than apply into the LCM equation.

GCF(1514,1532) = 2
LCM(1514,1532) = ( 1514 × 1532) / 2
LCM(1514,1532) = 2319448 / 2
LCM(1514,1532) = 1159724

Least Common Multiple (LCM) of 1514 and 1532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1514 and 1532. First we will calculate the prime factors of 1514 and 1532.

Prime Factorization of 1514

Prime Factorization of 1532

Now multiplying the highest exponent prime factors to calculate the LCM of 1514 and 1532.

LCM(1514,1532) = 2² × 757¹ × 383¹
LCM(1514,1532) = 1159724