What is the Least Common Multiple of 77295 and 77313?

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 77295 and 77313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77295 and 77313, than apply into the LCM equation.

GCF(77295,77313) = 3
LCM(77295,77313) = ( 77295 × 77313) / 3
LCM(77295,77313) = 5975908335 / 3
LCM(77295,77313) = 1991969445

Least Common Multiple (LCM) of 77295 and 77313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77295 and 77313. First we will calculate the prime factors of 77295 and 77313.

Prime Factorization of 77295

Prime Factorization of 77313

Now multiplying the highest exponent prime factors to calculate the LCM of 77295 and 77313.

LCM(77295,77313) = 3¹ × 5¹ × 5153¹ × 25771¹
LCM(77295,77313) = 1991969445