What is the Least Common Multiple of 75714 and 75730?

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 75714 and 75730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75714 and 75730, than apply into the LCM equation.

GCF(75714,75730) = 2
LCM(75714,75730) = ( 75714 × 75730) / 2
LCM(75714,75730) = 5733821220 / 2
LCM(75714,75730) = 2866910610

Least Common Multiple (LCM) of 75714 and 75730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75714 and 75730. First we will calculate the prime factors of 75714 and 75730.

Prime Factorization of 75714

Prime Factorization of 75730

Now multiplying the highest exponent prime factors to calculate the LCM of 75714 and 75730.

LCM(75714,75730) = 2¹ × 3¹ × 12619¹ × 5¹ × 7573¹
LCM(75714,75730) = 2866910610