What is the Least Common Multiple of 77417 and 77433?

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 77417 and 77433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77417 and 77433, than apply into the LCM equation.

GCF(77417,77433) = 1
LCM(77417,77433) = ( 77417 × 77433) / 1
LCM(77417,77433) = 5994630561 / 1
LCM(77417,77433) = 5994630561

Least Common Multiple (LCM) of 77417 and 77433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77417 and 77433. First we will calculate the prime factors of 77417 and 77433.

Prime Factorization of 77417

Prime Factorization of 77433

Now multiplying the highest exponent prime factors to calculate the LCM of 77417 and 77433.

LCM(77417,77433) = 77417¹ × 3¹ × 53¹ × 487¹
LCM(77417,77433) = 5994630561