What is the Least Common Multiple of 83974 and 83992?

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 83974 and 83992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83974 and 83992, than apply into the LCM equation.

GCF(83974,83992) = 2
LCM(83974,83992) = ( 83974 × 83992) / 2
LCM(83974,83992) = 7053144208 / 2
LCM(83974,83992) = 3526572104

Least Common Multiple (LCM) of 83974 and 83992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83974 and 83992. First we will calculate the prime factors of 83974 and 83992.

Prime Factorization of 83974

Prime Factorization of 83992

Now multiplying the highest exponent prime factors to calculate the LCM of 83974 and 83992.

LCM(83974,83992) = 2³ × 11² × 347¹ × 10499¹
LCM(83974,83992) = 3526572104