What is the Least Common Multiple of 83874 and 83888?

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 83874 and 83888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83874 and 83888, than apply into the LCM equation.

GCF(83874,83888) = 14
LCM(83874,83888) = ( 83874 × 83888) / 14
LCM(83874,83888) = 7036022112 / 14
LCM(83874,83888) = 502573008

Least Common Multiple (LCM) of 83874 and 83888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83874 and 83888. First we will calculate the prime factors of 83874 and 83888.

Prime Factorization of 83874

Prime Factorization of 83888

Now multiplying the highest exponent prime factors to calculate the LCM of 83874 and 83888.

LCM(83874,83888) = 2⁴ × 3¹ × 7² × 1997¹ × 107¹
LCM(83874,83888) = 502573008