What is the Least Common Multiple of 77145 and 77161?

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 77161 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 77161, than apply into the LCM equation.

GCF(77145,77161) = 1
LCM(77145,77161) = ( 77145 × 77161) / 1
LCM(77145,77161) = 5952585345 / 1
LCM(77145,77161) = 5952585345

Least Common Multiple (LCM) of 77145 and 77161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77145 and 77161. First we will calculate the prime factors of 77145 and 77161.

Prime Factorization of 77145

Prime Factorization of 77161

Now multiplying the highest exponent prime factors to calculate the LCM of 77145 and 77161.

LCM(77145,77161) = 3¹ × 5¹ × 37¹ × 139¹ × 7¹ × 73¹ × 151¹
LCM(77145,77161) = 5952585345