What is the Least Common Multiple of 93920 and 93928?

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 93920 and 93928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93920 and 93928, than apply into the LCM equation.

GCF(93920,93928) = 8
LCM(93920,93928) = ( 93920 × 93928) / 8
LCM(93920,93928) = 8821717760 / 8
LCM(93920,93928) = 1102714720

Least Common Multiple (LCM) of 93920 and 93928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93920 and 93928. First we will calculate the prime factors of 93920 and 93928.

Prime Factorization of 93920

Prime Factorization of 93928

Now multiplying the highest exponent prime factors to calculate the LCM of 93920 and 93928.

LCM(93920,93928) = 2⁵ × 5¹ × 587¹ × 59¹ × 199¹
LCM(93920,93928) = 1102714720