What is the Least Common Multiple of 66038 and 66046?

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 66038 and 66046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66038 and 66046, than apply into the LCM equation.

GCF(66038,66046) = 2
LCM(66038,66046) = ( 66038 × 66046) / 2
LCM(66038,66046) = 4361545748 / 2
LCM(66038,66046) = 2180772874

Least Common Multiple (LCM) of 66038 and 66046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66038 and 66046. First we will calculate the prime factors of 66038 and 66046.

Prime Factorization of 66038

Prime Factorization of 66046

Now multiplying the highest exponent prime factors to calculate the LCM of 66038 and 66046.

LCM(66038,66046) = 2¹ × 7¹ × 53¹ × 89¹ × 33023¹
LCM(66038,66046) = 2180772874