What is the Least Common Multiple of 7514 and 7534?

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 7514 and 7534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7514 and 7534, than apply into the LCM equation.

GCF(7514,7534) = 2
LCM(7514,7534) = ( 7514 × 7534) / 2
LCM(7514,7534) = 56610476 / 2
LCM(7514,7534) = 28305238

Least Common Multiple (LCM) of 7514 and 7534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7514 and 7534. First we will calculate the prime factors of 7514 and 7534.

Prime Factorization of 7514

Prime Factorization of 7534

Now multiplying the highest exponent prime factors to calculate the LCM of 7514 and 7534.

LCM(7514,7534) = 2¹ × 13¹ × 17² × 3767¹
LCM(7514,7534) = 28305238