What is the Least Common Multiple of 69738 and 69744?

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 69738 and 69744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69738 and 69744, than apply into the LCM equation.

GCF(69738,69744) = 6
LCM(69738,69744) = ( 69738 × 69744) / 6
LCM(69738,69744) = 4863807072 / 6
LCM(69738,69744) = 810634512

Least Common Multiple (LCM) of 69738 and 69744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69738 and 69744. First we will calculate the prime factors of 69738 and 69744.

Prime Factorization of 69738

Prime Factorization of 69744

Now multiplying the highest exponent prime factors to calculate the LCM of 69738 and 69744.

LCM(69738,69744) = 2⁴ × 3¹ × 59¹ × 197¹ × 1453¹
LCM(69738,69744) = 810634512