What is the Least Common Multiple of 92008 and 92020?

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 92008 and 92020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92008 and 92020, than apply into the LCM equation.

GCF(92008,92020) = 4
LCM(92008,92020) = ( 92008 × 92020) / 4
LCM(92008,92020) = 8466576160 / 4
LCM(92008,92020) = 2116644040

Least Common Multiple (LCM) of 92008 and 92020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92008 and 92020. First we will calculate the prime factors of 92008 and 92020.

Prime Factorization of 92008

Prime Factorization of 92020

Now multiplying the highest exponent prime factors to calculate the LCM of 92008 and 92020.

LCM(92008,92020) = 2³ × 7¹ × 31¹ × 53¹ × 5¹ × 43¹ × 107¹
LCM(92008,92020) = 2116644040