What is the Least Common Multiple of 92038 and 92048?

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 92038 and 92048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92038 and 92048, than apply into the LCM equation.

GCF(92038,92048) = 2
LCM(92038,92048) = ( 92038 × 92048) / 2
LCM(92038,92048) = 8471913824 / 2
LCM(92038,92048) = 4235956912

Least Common Multiple (LCM) of 92038 and 92048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92038 and 92048. First we will calculate the prime factors of 92038 and 92048.

Prime Factorization of 92038

Prime Factorization of 92048

Now multiplying the highest exponent prime factors to calculate the LCM of 92038 and 92048.

LCM(92038,92048) = 2⁴ × 17¹ × 2707¹ × 11¹ × 523¹
LCM(92038,92048) = 4235956912