What is the Least Common Multiple of 77493 and 77497?

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 77493 and 77497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77493 and 77497, than apply into the LCM equation.

GCF(77493,77497) = 1
LCM(77493,77497) = ( 77493 × 77497) / 1
LCM(77493,77497) = 6005475021 / 1
LCM(77493,77497) = 6005475021

Least Common Multiple (LCM) of 77493 and 77497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77493 and 77497. First we will calculate the prime factors of 77493 and 77497.

Prime Factorization of 77493

Prime Factorization of 77497

Now multiplying the highest exponent prime factors to calculate the LCM of 77493 and 77497.

LCM(77493,77497) = 3¹ × 13¹ × 1987¹ × 7¹ × 11071¹
LCM(77493,77497) = 6005475021