What is the Least Common Multiple of 87983 and 87992?

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 87983 and 87992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87983 and 87992, than apply into the LCM equation.

GCF(87983,87992) = 1
LCM(87983,87992) = ( 87983 × 87992) / 1
LCM(87983,87992) = 7741800136 / 1
LCM(87983,87992) = 7741800136

Least Common Multiple (LCM) of 87983 and 87992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87983 and 87992. First we will calculate the prime factors of 87983 and 87992.

Prime Factorization of 87983

Prime Factorization of 87992

Now multiplying the highest exponent prime factors to calculate the LCM of 87983 and 87992.

LCM(87983,87992) = 7¹ × 12569¹ × 2³ × 17¹ × 647¹
LCM(87983,87992) = 7741800136