What is the Least Common Multiple of 48762 and 48777?

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 48762 and 48777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48762 and 48777, than apply into the LCM equation.

GCF(48762,48777) = 3
LCM(48762,48777) = ( 48762 × 48777) / 3
LCM(48762,48777) = 2378464074 / 3
LCM(48762,48777) = 792821358

Least Common Multiple (LCM) of 48762 and 48777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48762 and 48777. First we will calculate the prime factors of 48762 and 48777.

Prime Factorization of 48762

Prime Factorization of 48777

Now multiplying the highest exponent prime factors to calculate the LCM of 48762 and 48777.

LCM(48762,48777) = 2¹ × 3⁴ × 7¹ × 43¹ × 71¹ × 229¹
LCM(48762,48777) = 792821358