What is the Least Common Multiple of 83514 and 83534?

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 83514 and 83534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83514 and 83534, than apply into the LCM equation.

GCF(83514,83534) = 2
LCM(83514,83534) = ( 83514 × 83534) / 2
LCM(83514,83534) = 6976258476 / 2
LCM(83514,83534) = 3488129238

Least Common Multiple (LCM) of 83514 and 83534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83514 and 83534. First we will calculate the prime factors of 83514 and 83534.

Prime Factorization of 83514

Prime Factorization of 83534

Now multiplying the highest exponent prime factors to calculate the LCM of 83514 and 83534.

LCM(83514,83534) = 2¹ × 3¹ × 31¹ × 449¹ × 11¹ × 3797¹
LCM(83514,83534) = 3488129238