What is the Least Common Multiple of 92628 and 92640?

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 92628 and 92640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92628 and 92640, than apply into the LCM equation.

GCF(92628,92640) = 12
LCM(92628,92640) = ( 92628 × 92640) / 12
LCM(92628,92640) = 8581057920 / 12
LCM(92628,92640) = 715088160

Least Common Multiple (LCM) of 92628 and 92640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92628 and 92640. First we will calculate the prime factors of 92628 and 92640.

Prime Factorization of 92628

Prime Factorization of 92640

Now multiplying the highest exponent prime factors to calculate the LCM of 92628 and 92640.

LCM(92628,92640) = 2⁵ × 3² × 31¹ × 83¹ × 5¹ × 193¹
LCM(92628,92640) = 715088160