What is the Least Common Multiple of 77145 and 77155?

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 77145 and 77155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77145 and 77155, than apply into the LCM equation.

GCF(77145,77155) = 5
LCM(77145,77155) = ( 77145 × 77155) / 5
LCM(77145,77155) = 5952122475 / 5
LCM(77145,77155) = 1190424495

Least Common Multiple (LCM) of 77145 and 77155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77145 and 77155. First we will calculate the prime factors of 77145 and 77155.

Prime Factorization of 77145

Prime Factorization of 77155

Now multiplying the highest exponent prime factors to calculate the LCM of 77145 and 77155.

LCM(77145,77155) = 3¹ × 5¹ × 37¹ × 139¹ × 13¹ × 1187¹
LCM(77145,77155) = 1190424495