What is the Least Common Multiple of 94546 and 94565?

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 94546 and 94565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94546 and 94565, than apply into the LCM equation.

GCF(94546,94565) = 1
LCM(94546,94565) = ( 94546 × 94565) / 1
LCM(94546,94565) = 8940742490 / 1
LCM(94546,94565) = 8940742490

Least Common Multiple (LCM) of 94546 and 94565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94546 and 94565. First we will calculate the prime factors of 94546 and 94565.

Prime Factorization of 94546

Prime Factorization of 94565

Now multiplying the highest exponent prime factors to calculate the LCM of 94546 and 94565.

LCM(94546,94565) = 2¹ × 41¹ × 1153¹ × 5¹ × 18913¹
LCM(94546,94565) = 8940742490