What is the Least Common Multiple of 92050 and 92064?

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 92050 and 92064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92050 and 92064, than apply into the LCM equation.

GCF(92050,92064) = 14
LCM(92050,92064) = ( 92050 × 92064) / 14
LCM(92050,92064) = 8474491200 / 14
LCM(92050,92064) = 605320800

Least Common Multiple (LCM) of 92050 and 92064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92050 and 92064. First we will calculate the prime factors of 92050 and 92064.

Prime Factorization of 92050

Prime Factorization of 92064

Now multiplying the highest exponent prime factors to calculate the LCM of 92050 and 92064.

LCM(92050,92064) = 2⁵ × 5² × 7¹ × 263¹ × 3¹ × 137¹
LCM(92050,92064) = 605320800