What is the Least Common Multiple of 66874 and 66883?

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 66874 and 66883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66874 and 66883, than apply into the LCM equation.

GCF(66874,66883) = 1
LCM(66874,66883) = ( 66874 × 66883) / 1
LCM(66874,66883) = 4472733742 / 1
LCM(66874,66883) = 4472733742

Least Common Multiple (LCM) of 66874 and 66883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66874 and 66883. First we will calculate the prime factors of 66874 and 66883.

Prime Factorization of 66874

Prime Factorization of 66883

Now multiplying the highest exponent prime factors to calculate the LCM of 66874 and 66883.

LCM(66874,66883) = 2¹ × 29¹ × 1153¹ × 66883¹
LCM(66874,66883) = 4472733742