What is the Least Common Multiple of 81768 and 81778?

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 81768 and 81778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81768 and 81778, than apply into the LCM equation.

GCF(81768,81778) = 2
LCM(81768,81778) = ( 81768 × 81778) / 2
LCM(81768,81778) = 6686823504 / 2
LCM(81768,81778) = 3343411752

Least Common Multiple (LCM) of 81768 and 81778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81768 and 81778. First we will calculate the prime factors of 81768 and 81778.

Prime Factorization of 81768

Prime Factorization of 81778

Now multiplying the highest exponent prime factors to calculate the LCM of 81768 and 81778.

LCM(81768,81778) = 2³ × 3¹ × 3407¹ × 31¹ × 1319¹
LCM(81768,81778) = 3343411752