What is the Least Common Multiple of 75924 and 75935?

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 75924 and 75935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75924 and 75935, than apply into the LCM equation.

GCF(75924,75935) = 1
LCM(75924,75935) = ( 75924 × 75935) / 1
LCM(75924,75935) = 5765288940 / 1
LCM(75924,75935) = 5765288940

Least Common Multiple (LCM) of 75924 and 75935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75924 and 75935. First we will calculate the prime factors of 75924 and 75935.

Prime Factorization of 75924

Prime Factorization of 75935

Now multiplying the highest exponent prime factors to calculate the LCM of 75924 and 75935.

LCM(75924,75935) = 2² × 3³ × 19¹ × 37¹ × 5¹ × 15187¹
LCM(75924,75935) = 5765288940