What is the Least Common Multiple of 77469 and 77475?

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 77469 and 77475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77469 and 77475, than apply into the LCM equation.

GCF(77469,77475) = 3
LCM(77469,77475) = ( 77469 × 77475) / 3
LCM(77469,77475) = 6001910775 / 3
LCM(77469,77475) = 2000636925

Least Common Multiple (LCM) of 77469 and 77475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77469 and 77475. First we will calculate the prime factors of 77469 and 77475.

Prime Factorization of 77469

Prime Factorization of 77475

Now multiplying the highest exponent prime factors to calculate the LCM of 77469 and 77475.

LCM(77469,77475) = 3¹ × 7² × 17¹ × 31¹ × 5² × 1033¹
LCM(77469,77475) = 2000636925