What is the Least Common Multiple of 10046 and 10066?

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 10046 and 10066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10046 and 10066, than apply into the LCM equation.

GCF(10046,10066) = 2
LCM(10046,10066) = ( 10046 × 10066) / 2
LCM(10046,10066) = 101123036 / 2
LCM(10046,10066) = 50561518

Least Common Multiple (LCM) of 10046 and 10066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10046 and 10066. First we will calculate the prime factors of 10046 and 10066.

Prime Factorization of 10046

Prime Factorization of 10066

Now multiplying the highest exponent prime factors to calculate the LCM of 10046 and 10066.

LCM(10046,10066) = 2¹ × 5023¹ × 7¹ × 719¹
LCM(10046,10066) = 50561518