What is the Least Common Multiple of 77730 and 77744?

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 77730 and 77744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77730 and 77744, than apply into the LCM equation.

GCF(77730,77744) = 2
LCM(77730,77744) = ( 77730 × 77744) / 2
LCM(77730,77744) = 6043041120 / 2
LCM(77730,77744) = 3021520560

Least Common Multiple (LCM) of 77730 and 77744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77730 and 77744. First we will calculate the prime factors of 77730 and 77744.

Prime Factorization of 77730

Prime Factorization of 77744

Now multiplying the highest exponent prime factors to calculate the LCM of 77730 and 77744.

LCM(77730,77744) = 2⁴ × 3¹ × 5¹ × 2591¹ × 43¹ × 113¹
LCM(77730,77744) = 3021520560