What is the Least Common Multiple of 77460 and 77469?

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 77460 and 77469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77460 and 77469, than apply into the LCM equation.

GCF(77460,77469) = 3
LCM(77460,77469) = ( 77460 × 77469) / 3
LCM(77460,77469) = 6000748740 / 3
LCM(77460,77469) = 2000249580

Least Common Multiple (LCM) of 77460 and 77469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77460 and 77469. First we will calculate the prime factors of 77460 and 77469.

Prime Factorization of 77460

Prime Factorization of 77469

Now multiplying the highest exponent prime factors to calculate the LCM of 77460 and 77469.

LCM(77460,77469) = 2² × 3¹ × 5¹ × 1291¹ × 7² × 17¹ × 31¹
LCM(77460,77469) = 2000249580