What is the Least Common Multiple of 92080 and 92090?

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 92080 and 92090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92080 and 92090, than apply into the LCM equation.

GCF(92080,92090) = 10
LCM(92080,92090) = ( 92080 × 92090) / 10
LCM(92080,92090) = 8479647200 / 10
LCM(92080,92090) = 847964720

Least Common Multiple (LCM) of 92080 and 92090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92080 and 92090. First we will calculate the prime factors of 92080 and 92090.

Prime Factorization of 92080

Prime Factorization of 92090

Now multiplying the highest exponent prime factors to calculate the LCM of 92080 and 92090.

LCM(92080,92090) = 2⁴ × 5¹ × 1151¹ × 9209¹
LCM(92080,92090) = 847964720