What is the Least Common Multiple of 77402 and 77413?

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 77402 and 77413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77402 and 77413, than apply into the LCM equation.

GCF(77402,77413) = 1
LCM(77402,77413) = ( 77402 × 77413) / 1
LCM(77402,77413) = 5991921026 / 1
LCM(77402,77413) = 5991921026

Least Common Multiple (LCM) of 77402 and 77413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77402 and 77413. First we will calculate the prime factors of 77402 and 77413.

Prime Factorization of 77402

Prime Factorization of 77413

Now multiplying the highest exponent prime factors to calculate the LCM of 77402 and 77413.

LCM(77402,77413) = 2¹ × 13² × 229¹ × 7¹ × 11059¹
LCM(77402,77413) = 5991921026