What is the Least Common Multiple of 75810 and 75829?

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 75810 and 75829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75810 and 75829, than apply into the LCM equation.

GCF(75810,75829) = 19
LCM(75810,75829) = ( 75810 × 75829) / 19
LCM(75810,75829) = 5748596490 / 19
LCM(75810,75829) = 302557710

Least Common Multiple (LCM) of 75810 and 75829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75810 and 75829. First we will calculate the prime factors of 75810 and 75829.

Prime Factorization of 75810

Prime Factorization of 75829

Now multiplying the highest exponent prime factors to calculate the LCM of 75810 and 75829.

LCM(75810,75829) = 2¹ × 3¹ × 5¹ × 7¹ × 19² × 13¹ × 307¹
LCM(75810,75829) = 302557710