What is the Least Common Multiple of 77235 and 77243?

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 77235 and 77243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77235 and 77243, than apply into the LCM equation.

GCF(77235,77243) = 1
LCM(77235,77243) = ( 77235 × 77243) / 1
LCM(77235,77243) = 5965863105 / 1
LCM(77235,77243) = 5965863105

Least Common Multiple (LCM) of 77235 and 77243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77235 and 77243. First we will calculate the prime factors of 77235 and 77243.

Prime Factorization of 77235

Prime Factorization of 77243

Now multiplying the highest exponent prime factors to calculate the LCM of 77235 and 77243.

LCM(77235,77243) = 3¹ × 5¹ × 19¹ × 271¹ × 77243¹
LCM(77235,77243) = 5965863105