What is the Least Common Multiple of 77451 and 77466?

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 77451 and 77466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77451 and 77466, than apply into the LCM equation.

GCF(77451,77466) = 3
LCM(77451,77466) = ( 77451 × 77466) / 3
LCM(77451,77466) = 5999819166 / 3
LCM(77451,77466) = 1999939722

Least Common Multiple (LCM) of 77451 and 77466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77451 and 77466. First we will calculate the prime factors of 77451 and 77466.

Prime Factorization of 77451

Prime Factorization of 77466

Now multiplying the highest exponent prime factors to calculate the LCM of 77451 and 77466.

LCM(77451,77466) = 3¹ × 11¹ × 2347¹ × 2¹ × 12911¹
LCM(77451,77466) = 1999939722