What is the Least Common Multiple of 93496 and 93506?

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 93496 and 93506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93496 and 93506, than apply into the LCM equation.

GCF(93496,93506) = 2
LCM(93496,93506) = ( 93496 × 93506) / 2
LCM(93496,93506) = 8742436976 / 2
LCM(93496,93506) = 4371218488

Least Common Multiple (LCM) of 93496 and 93506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93496 and 93506. First we will calculate the prime factors of 93496 and 93506.

Prime Factorization of 93496

Prime Factorization of 93506

Now multiplying the highest exponent prime factors to calculate the LCM of 93496 and 93506.

LCM(93496,93506) = 2³ × 13¹ × 29¹ × 31¹ × 7¹ × 6679¹
LCM(93496,93506) = 4371218488