What is the Least Common Multiple of 75783 and 75801?

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 75783 and 75801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75783 and 75801, than apply into the LCM equation.

GCF(75783,75801) = 3
LCM(75783,75801) = ( 75783 × 75801) / 3
LCM(75783,75801) = 5744427183 / 3
LCM(75783,75801) = 1914809061

Least Common Multiple (LCM) of 75783 and 75801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75783 and 75801. First we will calculate the prime factors of 75783 and 75801.

Prime Factorization of 75783

Prime Factorization of 75801

Now multiplying the highest exponent prime factors to calculate the LCM of 75783 and 75801.

LCM(75783,75801) = 3¹ × 25261¹ × 11¹ × 2297¹
LCM(75783,75801) = 1914809061