What is the Least Common Multiple of 94451 and 94469?

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 94451 and 94469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94451 and 94469, than apply into the LCM equation.

GCF(94451,94469) = 1
LCM(94451,94469) = ( 94451 × 94469) / 1
LCM(94451,94469) = 8922691519 / 1
LCM(94451,94469) = 8922691519

Least Common Multiple (LCM) of 94451 and 94469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94451 and 94469. First we will calculate the prime factors of 94451 and 94469.

Prime Factorization of 94451

Prime Factorization of 94469

Now multiplying the highest exponent prime factors to calculate the LCM of 94451 and 94469.

LCM(94451,94469) = 7¹ × 103¹ × 131¹ × 17¹ × 5557¹
LCM(94451,94469) = 8922691519