What is the Least Common Multiple of 6460 and 6469?

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 6460 and 6469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6460 and 6469, than apply into the LCM equation.

GCF(6460,6469) = 1
LCM(6460,6469) = ( 6460 × 6469) / 1
LCM(6460,6469) = 41789740 / 1
LCM(6460,6469) = 41789740

Least Common Multiple (LCM) of 6460 and 6469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6460 and 6469. First we will calculate the prime factors of 6460 and 6469.

Prime Factorization of 6460

Prime Factorization of 6469

Now multiplying the highest exponent prime factors to calculate the LCM of 6460 and 6469.

LCM(6460,6469) = 2² × 5¹ × 17¹ × 19¹ × 6469¹
LCM(6460,6469) = 41789740