What is the Least Common Multiple of 77413 and 77431?

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 77413 and 77431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77413 and 77431, than apply into the LCM equation.

GCF(77413,77431) = 1
LCM(77413,77431) = ( 77413 × 77431) / 1
LCM(77413,77431) = 5994166003 / 1
LCM(77413,77431) = 5994166003

Least Common Multiple (LCM) of 77413 and 77431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77413 and 77431. First we will calculate the prime factors of 77413 and 77431.

Prime Factorization of 77413

Prime Factorization of 77431

Now multiplying the highest exponent prime factors to calculate the LCM of 77413 and 77431.

LCM(77413,77431) = 7¹ × 11059¹ × 77431¹
LCM(77413,77431) = 5994166003