What is the Least Common Multiple of 86469 and 86480?

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 86469 and 86480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86469 and 86480, than apply into the LCM equation.

GCF(86469,86480) = 1
LCM(86469,86480) = ( 86469 × 86480) / 1
LCM(86469,86480) = 7477839120 / 1
LCM(86469,86480) = 7477839120

Least Common Multiple (LCM) of 86469 and 86480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86469 and 86480. First we will calculate the prime factors of 86469 and 86480.

Prime Factorization of 86469

Prime Factorization of 86480

Now multiplying the highest exponent prime factors to calculate the LCM of 86469 and 86480.

LCM(86469,86480) = 3¹ × 19¹ × 37¹ × 41¹ × 2⁴ × 5¹ × 23¹ × 47¹
LCM(86469,86480) = 7477839120