What is the Least Common Multiple of 7830 and 7850?

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 7830 and 7850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7830 and 7850, than apply into the LCM equation.

GCF(7830,7850) = 10
LCM(7830,7850) = ( 7830 × 7850) / 10
LCM(7830,7850) = 61465500 / 10
LCM(7830,7850) = 6146550

Least Common Multiple (LCM) of 7830 and 7850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7830 and 7850. First we will calculate the prime factors of 7830 and 7850.

Prime Factorization of 7830

Prime Factorization of 7850

Now multiplying the highest exponent prime factors to calculate the LCM of 7830 and 7850.

LCM(7830,7850) = 2¹ × 3³ × 5² × 29¹ × 157¹
LCM(7830,7850) = 6146550