What is the Least Common Multiple of 92280 and 92295?

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 92280 and 92295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92280 and 92295, than apply into the LCM equation.

GCF(92280,92295) = 15
LCM(92280,92295) = ( 92280 × 92295) / 15
LCM(92280,92295) = 8516982600 / 15
LCM(92280,92295) = 567798840

Least Common Multiple (LCM) of 92280 and 92295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92280 and 92295. First we will calculate the prime factors of 92280 and 92295.

Prime Factorization of 92280

Prime Factorization of 92295

Now multiplying the highest exponent prime factors to calculate the LCM of 92280 and 92295.

LCM(92280,92295) = 2³ × 3² × 5¹ × 769¹ × 7¹ × 293¹
LCM(92280,92295) = 567798840