What is the Least Common Multiple of 77414 and 77429?

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 77429 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 77429, than apply into the LCM equation.

GCF(77414,77429) = 1
LCM(77414,77429) = ( 77414 × 77429) / 1
LCM(77414,77429) = 5994088606 / 1
LCM(77414,77429) = 5994088606

Least Common Multiple (LCM) of 77414 and 77429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77414 and 77429. First we will calculate the prime factors of 77414 and 77429.

Prime Factorization of 77414

Prime Factorization of 77429

Now multiplying the highest exponent prime factors to calculate the LCM of 77414 and 77429.

LCM(77414,77429) = 2¹ × 38707¹ × 11¹ × 7039¹
LCM(77414,77429) = 5994088606