What is the Least Common Multiple of 77478 and 77493?

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 77478 and 77493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77478 and 77493, than apply into the LCM equation.

GCF(77478,77493) = 3
LCM(77478,77493) = ( 77478 × 77493) / 3
LCM(77478,77493) = 6004002654 / 3
LCM(77478,77493) = 2001334218

Least Common Multiple (LCM) of 77478 and 77493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77478 and 77493. First we will calculate the prime factors of 77478 and 77493.

Prime Factorization of 77478

Prime Factorization of 77493

Now multiplying the highest exponent prime factors to calculate the LCM of 77478 and 77493.

LCM(77478,77493) = 2¹ × 3¹ × 37¹ × 349¹ × 13¹ × 1987¹
LCM(77478,77493) = 2001334218