What is the Least Common Multiple of 77454 and 77463?

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 77454 and 77463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77454 and 77463, than apply into the LCM equation.

GCF(77454,77463) = 9
LCM(77454,77463) = ( 77454 × 77463) / 9
LCM(77454,77463) = 5999819202 / 9
LCM(77454,77463) = 666646578

Least Common Multiple (LCM) of 77454 and 77463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77454 and 77463. First we will calculate the prime factors of 77454 and 77463.

Prime Factorization of 77454

Prime Factorization of 77463

Now multiplying the highest exponent prime factors to calculate the LCM of 77454 and 77463.

LCM(77454,77463) = 2¹ × 3³ × 13¹ × 331¹ × 19¹ × 151¹
LCM(77454,77463) = 666646578