What is the Least Common Multiple of 75642 and 75646?

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 75642 and 75646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75642 and 75646, than apply into the LCM equation.

GCF(75642,75646) = 2
LCM(75642,75646) = ( 75642 × 75646) / 2
LCM(75642,75646) = 5722014732 / 2
LCM(75642,75646) = 2861007366

Least Common Multiple (LCM) of 75642 and 75646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75642 and 75646. First we will calculate the prime factors of 75642 and 75646.

Prime Factorization of 75642

Prime Factorization of 75646

Now multiplying the highest exponent prime factors to calculate the LCM of 75642 and 75646.

LCM(75642,75646) = 2¹ × 3¹ × 7¹ × 1801¹ × 109¹ × 347¹
LCM(75642,75646) = 2861007366