What is the Least Common Multiple of 77414 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 77414 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 77414 and 77431, than apply into the LCM equation.

GCF(77414,77431) = 1
LCM(77414,77431) = ( 77414 × 77431) / 1
LCM(77414,77431) = 5994243434 / 1
LCM(77414,77431) = 5994243434

Least Common Multiple (LCM) of 77414 and 77431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77414 and 77431. First we will calculate the prime factors of 77414 and 77431.

Prime Factorization of 77414

Prime Factorization of 77431

Now multiplying the highest exponent prime factors to calculate the LCM of 77414 and 77431.

LCM(77414,77431) = 2¹ × 38707¹ × 77431¹
LCM(77414,77431) = 5994243434