What is the Least Common Multiple of 77565 and 77585?

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 77565 and 77585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77565 and 77585, than apply into the LCM equation.

GCF(77565,77585) = 5
LCM(77565,77585) = ( 77565 × 77585) / 5
LCM(77565,77585) = 6017880525 / 5
LCM(77565,77585) = 1203576105

Least Common Multiple (LCM) of 77565 and 77585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77565 and 77585. First we will calculate the prime factors of 77565 and 77585.

Prime Factorization of 77565

Prime Factorization of 77585

Now multiplying the highest exponent prime factors to calculate the LCM of 77565 and 77585.

LCM(77565,77585) = 3¹ × 5¹ × 5171¹ × 59¹ × 263¹
LCM(77565,77585) = 1203576105