What is the Least Common Multiple of 7860 and 7867?

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 7860 and 7867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7860 and 7867, than apply into the LCM equation.

GCF(7860,7867) = 1
LCM(7860,7867) = ( 7860 × 7867) / 1
LCM(7860,7867) = 61834620 / 1
LCM(7860,7867) = 61834620

Least Common Multiple (LCM) of 7860 and 7867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7860 and 7867. First we will calculate the prime factors of 7860 and 7867.

Prime Factorization of 7860

Prime Factorization of 7867

Now multiplying the highest exponent prime factors to calculate the LCM of 7860 and 7867.

LCM(7860,7867) = 2² × 3¹ × 5¹ × 131¹ × 7867¹
LCM(7860,7867) = 61834620