What is the Least Common Multiple of 1514 and 1534?

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 1534 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 1534, than apply into the LCM equation.

GCF(1514,1534) = 2
LCM(1514,1534) = ( 1514 × 1534) / 2
LCM(1514,1534) = 2322476 / 2
LCM(1514,1534) = 1161238

Least Common Multiple (LCM) of 1514 and 1534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1514 and 1534. First we will calculate the prime factors of 1514 and 1534.

Prime Factorization of 1514

Prime Factorization of 1534

Now multiplying the highest exponent prime factors to calculate the LCM of 1514 and 1534.

LCM(1514,1534) = 2¹ × 757¹ × 13¹ × 59¹
LCM(1514,1534) = 1161238