What is the Least Common Multiple of 74776 and 74782?

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 74776 and 74782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74776 and 74782, than apply into the LCM equation.

GCF(74776,74782) = 2
LCM(74776,74782) = ( 74776 × 74782) / 2
LCM(74776,74782) = 5591898832 / 2
LCM(74776,74782) = 2795949416

Least Common Multiple (LCM) of 74776 and 74782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74776 and 74782. First we will calculate the prime factors of 74776 and 74782.

Prime Factorization of 74776

Prime Factorization of 74782

Now multiplying the highest exponent prime factors to calculate the LCM of 74776 and 74782.

LCM(74776,74782) = 2³ × 13¹ × 719¹ × 139¹ × 269¹
LCM(74776,74782) = 2795949416