What is the Least Common Multiple of 92548 and 92560?

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 92548 and 92560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92548 and 92560, than apply into the LCM equation.

GCF(92548,92560) = 4
LCM(92548,92560) = ( 92548 × 92560) / 4
LCM(92548,92560) = 8566242880 / 4
LCM(92548,92560) = 2141560720

Least Common Multiple (LCM) of 92548 and 92560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92548 and 92560. First we will calculate the prime factors of 92548 and 92560.

Prime Factorization of 92548

Prime Factorization of 92560

Now multiplying the highest exponent prime factors to calculate the LCM of 92548 and 92560.

LCM(92548,92560) = 2⁴ × 17¹ × 1361¹ × 5¹ × 13¹ × 89¹
LCM(92548,92560) = 2141560720