What is the Least Common Multiple of 83740 and 83744?

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 83740 and 83744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83740 and 83744, than apply into the LCM equation.

GCF(83740,83744) = 4
LCM(83740,83744) = ( 83740 × 83744) / 4
LCM(83740,83744) = 7012722560 / 4
LCM(83740,83744) = 1753180640

Least Common Multiple (LCM) of 83740 and 83744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83740 and 83744. First we will calculate the prime factors of 83740 and 83744.

Prime Factorization of 83740

Prime Factorization of 83744

Now multiplying the highest exponent prime factors to calculate the LCM of 83740 and 83744.

LCM(83740,83744) = 2⁵ × 5¹ × 53¹ × 79¹ × 2617¹
LCM(83740,83744) = 1753180640