What is the Least Common Multiple of 66646 and 66651?

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 66646 and 66651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66646 and 66651, than apply into the LCM equation.

GCF(66646,66651) = 1
LCM(66646,66651) = ( 66646 × 66651) / 1
LCM(66646,66651) = 4442022546 / 1
LCM(66646,66651) = 4442022546

Least Common Multiple (LCM) of 66646 and 66651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66646 and 66651. First we will calculate the prime factors of 66646 and 66651.

Prime Factorization of 66646

Prime Factorization of 66651

Now multiplying the highest exponent prime factors to calculate the LCM of 66646 and 66651.

LCM(66646,66651) = 2¹ × 47¹ × 709¹ × 3¹ × 13¹ × 1709¹
LCM(66646,66651) = 4442022546