What is the Least Common Multiple of 78754 and 78767?

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 78754 and 78767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78754 and 78767, than apply into the LCM equation.

GCF(78754,78767) = 13
LCM(78754,78767) = ( 78754 × 78767) / 13
LCM(78754,78767) = 6203216318 / 13
LCM(78754,78767) = 477170486

Least Common Multiple (LCM) of 78754 and 78767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78754 and 78767. First we will calculate the prime factors of 78754 and 78767.

Prime Factorization of 78754

Prime Factorization of 78767

Now multiplying the highest exponent prime factors to calculate the LCM of 78754 and 78767.

LCM(78754,78767) = 2¹ × 13² × 233¹ × 73¹ × 83¹
LCM(78754,78767) = 477170486