What is the Least Common Multiple of 77262 and 77279?

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 77262 and 77279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77262 and 77279, than apply into the LCM equation.

GCF(77262,77279) = 1
LCM(77262,77279) = ( 77262 × 77279) / 1
LCM(77262,77279) = 5970730098 / 1
LCM(77262,77279) = 5970730098

Least Common Multiple (LCM) of 77262 and 77279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77262 and 77279. First we will calculate the prime factors of 77262 and 77279.

Prime Factorization of 77262

Prime Factorization of 77279

Now multiplying the highest exponent prime factors to calculate the LCM of 77262 and 77279.

LCM(77262,77279) = 2¹ × 3¹ × 79¹ × 163¹ × 77279¹
LCM(77262,77279) = 5970730098