What is the Least Common Multiple of 77151 and 77159?

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 77151 and 77159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77151 and 77159, than apply into the LCM equation.

GCF(77151,77159) = 1
LCM(77151,77159) = ( 77151 × 77159) / 1
LCM(77151,77159) = 5952894009 / 1
LCM(77151,77159) = 5952894009

Least Common Multiple (LCM) of 77151 and 77159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77151 and 77159. First we will calculate the prime factors of 77151 and 77159.

Prime Factorization of 77151

Prime Factorization of 77159

Now multiplying the highest exponent prime factors to calculate the LCM of 77151 and 77159.

LCM(77151,77159) = 3¹ × 25717¹ × 19¹ × 31¹ × 131¹
LCM(77151,77159) = 5952894009